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Finding the Fourth Proportional to 733.59, 1,012.17 and 471.69

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Solution

The fourth proportional to 733.59, 1,012.17 and 471.69 is: 650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.59 : 1,012.17 = 471.69 : x
  2. Step 2: Convert to fraction form
    733.59/1,012.17 = 471.69/x
  3. Step 3: Cross multiply
    733.59x = 1,012.17 × 471.69
  4. Step 4: Simplify right side
    733.59x = 477,430.47
  5. Step 5: Solve for x
    x = 477,430.47/733.59
  6. Step 6: Final answer
    x = 650.81

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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.