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Finding the Fourth Proportional to 1,187.17, 1,780.68 and 365.47

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Solution

The fourth proportional to 1,187.17, 1,780.68 and 365.47 is: 548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.17 : 1,780.68 = 365.47 : x
  2. Step 2: Convert to fraction form
    1,187.17/1,780.68 = 365.47/x
  3. Step 3: Cross multiply
    1,187.17x = 1,780.68 × 365.47
  4. Step 4: Simplify right side
    1,187.17x = 650,785.12
  5. Step 5: Solve for x
    x = 650,785.12/1,187.17
  6. Step 6: Final answer
    x = 548.18

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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.