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Finding the Fourth Proportional to 916.95, 1,265.13 and 602.13

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Solution

The fourth proportional to 916.95, 1,265.13 and 602.13 is: 830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.95 : 1,265.13 = 602.13 : x
  2. Step 2: Convert to fraction form
    916.95/1,265.13 = 602.13/x
  3. Step 3: Cross multiply
    916.95x = 1,265.13 × 602.13
  4. Step 4: Simplify right side
    916.95x = 761,772.73
  5. Step 5: Solve for x
    x = 761,772.73/916.95
  6. Step 6: Final answer
    x = 830.77

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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.