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Finding the Fourth Proportional to 715.74, 1,073.60 and 572.36

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Solution

The fourth proportional to 715.74, 1,073.60 and 572.36 is: 858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.74 : 1,073.60 = 572.36 : x
  2. Step 2: Convert to fraction form
    715.74/1,073.60 = 572.36/x
  3. Step 3: Cross multiply
    715.74x = 1,073.60 × 572.36
  4. Step 4: Simplify right side
    715.74x = 614,485.70
  5. Step 5: Solve for x
    x = 614,485.70/715.74
  6. Step 6: Final answer
    x = 858.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.