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Finding the Fourth Proportional to 732.40, 1,011.66 and 593.44

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Solution

The fourth proportional to 732.40, 1,011.66 and 593.44 is: 819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.40 : 1,011.66 = 593.44 : x
  2. Step 2: Convert to fraction form
    732.40/1,011.66 = 593.44/x
  3. Step 3: Cross multiply
    732.40x = 1,011.66 × 593.44
  4. Step 4: Simplify right side
    732.40x = 600,359.51
  5. Step 5: Solve for x
    x = 600,359.51/732.40
  6. Step 6: Final answer
    x = 819.72

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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.