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Finding the Fourth Proportional to 722.60, 1,082.06 and 478.38

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Solution

The fourth proportional to 722.60, 1,082.06 and 478.38 is: 716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.60 : 1,082.06 = 478.38 : x
  2. Step 2: Convert to fraction form
    722.60/1,082.06 = 478.38/x
  3. Step 3: Cross multiply
    722.60x = 1,082.06 × 478.38
  4. Step 4: Simplify right side
    722.60x = 517,635.86
  5. Step 5: Solve for x
    x = 517,635.86/722.60
  6. Step 6: Final answer
    x = 716.35

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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.