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Finding the Fourth Proportional to 779.37, 1,167.71 and 614.13

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Solution

The fourth proportional to 779.37, 1,167.71 and 614.13 is: 920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.37 : 1,167.71 = 614.13 : x
  2. Step 2: Convert to fraction form
    779.37/1,167.71 = 614.13/x
  3. Step 3: Cross multiply
    779.37x = 1,167.71 × 614.13
  4. Step 4: Simplify right side
    779.37x = 717,122.67
  5. Step 5: Solve for x
    x = 717,122.67/779.37
  6. Step 6: Final answer
    x = 920.13

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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.