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Finding the Fourth Proportional to 1,140.40, 1,573.66 and 643.02

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Solution

The fourth proportional to 1,140.40, 1,573.66 and 643.02 is: 887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.40 : 1,573.66 = 643.02 : x
  2. Step 2: Convert to fraction form
    1,140.40/1,573.66 = 643.02/x
  3. Step 3: Cross multiply
    1,140.40x = 1,573.66 × 643.02
  4. Step 4: Simplify right side
    1,140.40x = 1,011,894.85
  5. Step 5: Solve for x
    x = 1,011,894.85/1,140.40
  6. Step 6: Final answer
    x = 887.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.