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Finding the Fourth Proportional to 782, 1,079.40 and 471.76

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Solution

The fourth proportional to 782, 1,079.40 and 471.76 is: 651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,079.40 = 471.76 : x
  2. Step 2: Convert to fraction form
    782/1,079.40 = 471.76/x
  3. Step 3: Cross multiply
    782x = 1,079.40 × 471.76
  4. Step 4: Simplify right side
    782x = 509,217.74
  5. Step 5: Solve for x
    x = 509,217.74/782
  6. Step 6: Final answer
    x = 651.17

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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.