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Finding the Fourth Proportional to 782.53, 1,078.16 and 516.50

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Solution

The fourth proportional to 782.53, 1,078.16 and 516.50 is: 711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.53 : 1,078.16 = 516.50 : x
  2. Step 2: Convert to fraction form
    782.53/1,078.16 = 516.50/x
  3. Step 3: Cross multiply
    782.53x = 1,078.16 × 516.50
  4. Step 4: Simplify right side
    782.53x = 556,868.70
  5. Step 5: Solve for x
    x = 556,868.70/782.53
  6. Step 6: Final answer
    x = 711.62

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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.