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Finding the Fourth Proportional to 916.90, 1,265.29 and 538.89

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Solution

The fourth proportional to 916.90, 1,265.29 and 538.89 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.90 : 1,265.29 = 538.89 : x
  2. Step 2: Convert to fraction form
    916.90/1,265.29 = 538.89/x
  3. Step 3: Cross multiply
    916.90x = 1,265.29 × 538.89
  4. Step 4: Simplify right side
    916.90x = 681,852.13
  5. Step 5: Solve for x
    x = 681,852.13/916.90
  6. Step 6: Final answer
    x = 743.65

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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.