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Finding the Fourth Proportional to 1,187.04, 1,781.20 and 494.18

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Solution

The fourth proportional to 1,187.04, 1,781.20 and 494.18 is: 741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.04 : 1,781.20 = 494.18 : x
  2. Step 2: Convert to fraction form
    1,187.04/1,781.20 = 494.18/x
  3. Step 3: Cross multiply
    1,187.04x = 1,781.20 × 494.18
  4. Step 4: Simplify right side
    1,187.04x = 880,230.95
  5. Step 5: Solve for x
    x = 880,230.95/1,187.04
  6. Step 6: Final answer
    x = 741.54

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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.