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Finding the Fourth Proportional to 733.38, 1,011.57 and 558.42

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Solution

The fourth proportional to 733.38, 1,011.57 and 558.42 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.38 : 1,011.57 = 558.42 : x
  2. Step 2: Convert to fraction form
    733.38/1,011.57 = 558.42/x
  3. Step 3: Cross multiply
    733.38x = 1,011.57 × 558.42
  4. Step 4: Simplify right side
    733.38x = 564,880.92
  5. Step 5: Solve for x
    x = 564,880.92/733.38
  6. Step 6: Final answer
    x = 770.24

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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.