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Finding the Fourth Proportional to 916.17, 1,264.30 and 496.52

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Solution

The fourth proportional to 916.17, 1,264.30 and 496.52 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.17 : 1,264.30 = 496.52 : x
  2. Step 2: Convert to fraction form
    916.17/1,264.30 = 496.52/x
  3. Step 3: Cross multiply
    916.17x = 1,264.30 × 496.52
  4. Step 4: Simplify right side
    916.17x = 627,750.24
  5. Step 5: Solve for x
    x = 627,750.24/916.17
  6. Step 6: Final answer
    x = 685.19

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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.