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Finding the Fourth Proportional to 1,187.66, 1,781.60 and 365.92

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Solution

The fourth proportional to 1,187.66, 1,781.60 and 365.92 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.66 : 1,781.60 = 365.92 : x
  2. Step 2: Convert to fraction form
    1,187.66/1,781.60 = 365.92/x
  3. Step 3: Cross multiply
    1,187.66x = 1,781.60 × 365.92
  4. Step 4: Simplify right side
    1,187.66x = 651,916.79
  5. Step 5: Solve for x
    x = 651,916.79/1,187.66
  6. Step 6: Final answer
    x = 548.91

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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.