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Finding the Fourth Proportional to 1,187.24, 1,781.15 and 365.54

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Solution

The fourth proportional to 1,187.24, 1,781.15 and 365.54 is: 548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.24 : 1,781.15 = 365.54 : x
  2. Step 2: Convert to fraction form
    1,187.24/1,781.15 = 365.54/x
  3. Step 3: Cross multiply
    1,187.24x = 1,781.15 × 365.54
  4. Step 4: Simplify right side
    1,187.24x = 651,070.84
  5. Step 5: Solve for x
    x = 651,070.84/1,187.24
  6. Step 6: Final answer
    x = 548.39

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