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Finding the Fourth Proportional to 715.42, 1,073.52 and 472.06

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Solution

The fourth proportional to 715.42, 1,073.52 and 472.06 is: 708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.42 : 1,073.52 = 472.06 : x
  2. Step 2: Convert to fraction form
    715.42/1,073.52 = 472.06/x
  3. Step 3: Cross multiply
    715.42x = 1,073.52 × 472.06
  4. Step 4: Simplify right side
    715.42x = 506,765.85
  5. Step 5: Solve for x
    x = 506,765.85/715.42
  6. Step 6: Final answer
    x = 708.35

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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.