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Finding the Fourth Proportional to 1,573.30, 2,359.95 and 477.67

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Solution

The fourth proportional to 1,573.30, 2,359.95 and 477.67 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.30 : 2,359.95 = 477.67 : x
  2. Step 2: Convert to fraction form
    1,573.30/2,359.95 = 477.67/x
  3. Step 3: Cross multiply
    1,573.30x = 2,359.95 × 477.67
  4. Step 4: Simplify right side
    1,573.30x = 1,127,277.32
  5. Step 5: Solve for x
    x = 1,127,277.32/1,573.30
  6. Step 6: Final answer
    x = 716.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.