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Finding the Fourth Proportional to 782.71, 1,174.86 and 392.99

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Solution

The fourth proportional to 782.71, 1,174.86 and 392.99 is: 589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.71 : 1,174.86 = 392.99 : x
  2. Step 2: Convert to fraction form
    782.71/1,174.86 = 392.99/x
  3. Step 3: Cross multiply
    782.71x = 1,174.86 × 392.99
  4. Step 4: Simplify right side
    782.71x = 461,702.36
  5. Step 5: Solve for x
    x = 461,702.36/782.71
  6. Step 6: Final answer
    x = 589.88

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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.