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Finding the Fourth Proportional to 1,187, 1,781.61 and 602.42

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Solution

The fourth proportional to 1,187, 1,781.61 and 602.42 is: 904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187 : 1,781.61 = 602.42 : x
  2. Step 2: Convert to fraction form
    1,187/1,781.61 = 602.42/x
  3. Step 3: Cross multiply
    1,187x = 1,781.61 × 602.42
  4. Step 4: Simplify right side
    1,187x = 1,073,265.58
  5. Step 5: Solve for x
    x = 1,073,265.58/1,187
  6. Step 6: Final answer
    x = 904.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.