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Finding the Fourth Proportional to 969.19, 1,337.50 and 527.08

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Solution

The fourth proportional to 969.19, 1,337.50 and 527.08 is: 727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.19 : 1,337.50 = 527.08 : x
  2. Step 2: Convert to fraction form
    969.19/1,337.50 = 527.08/x
  3. Step 3: Cross multiply
    969.19x = 1,337.50 × 527.08
  4. Step 4: Simplify right side
    969.19x = 704,969.50
  5. Step 5: Solve for x
    x = 704,969.50/969.19
  6. Step 6: Final answer
    x = 727.38

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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.