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Finding the Fourth Proportional to 916.10, 1,264.31 and 523.18

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Solution

The fourth proportional to 916.10, 1,264.31 and 523.18 is: 722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.10 : 1,264.31 = 523.18 : x
  2. Step 2: Convert to fraction form
    916.10/1,264.31 = 523.18/x
  3. Step 3: Cross multiply
    916.10x = 1,264.31 × 523.18
  4. Step 4: Simplify right side
    916.10x = 661,461.71
  5. Step 5: Solve for x
    x = 661,461.71/916.10
  6. Step 6: Final answer
    x = 722.04

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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.