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Finding the Fourth Proportional to 733.68, 1,011.42 and 558.72

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Solution

The fourth proportional to 733.68, 1,011.42 and 558.72 is: 770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,011.42 = 558.72 : x
  2. Step 2: Convert to fraction form
    733.68/1,011.42 = 558.72/x
  3. Step 3: Cross multiply
    733.68x = 1,011.42 × 558.72
  4. Step 4: Simplify right side
    733.68x = 565,100.58
  5. Step 5: Solve for x
    x = 565,100.58/733.68
  6. Step 6: Final answer
    x = 770.23

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Double scale
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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.