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Finding the Fourth Proportional to 916.82, 1,265.34 and 524

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Solution

The fourth proportional to 916.82, 1,265.34 and 524 is: 723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.82 : 1,265.34 = 524 : x
  2. Step 2: Convert to fraction form
    916.82/1,265.34 = 524/x
  3. Step 3: Cross multiply
    916.82x = 1,265.34 × 524
  4. Step 4: Simplify right side
    916.82x = 663,038.16
  5. Step 5: Solve for x
    x = 663,038.16/916.82
  6. Step 6: Final answer
    x = 723.19

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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.