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Finding the Fourth Proportional to 916.27, 1,264.43 and 496.61

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Solution

The fourth proportional to 916.27, 1,264.43 and 496.61 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.27 : 1,264.43 = 496.61 : x
  2. Step 2: Convert to fraction form
    916.27/1,264.43 = 496.61/x
  3. Step 3: Cross multiply
    916.27x = 1,264.43 × 496.61
  4. Step 4: Simplify right side
    916.27x = 627,923.50
  5. Step 5: Solve for x
    x = 627,923.50/916.27
  6. Step 6: Final answer
    x = 685.30

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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.