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Finding the Fourth Proportional to 1,187.40, 1,781.27 and 365.74

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Solution

The fourth proportional to 1,187.40, 1,781.27 and 365.74 is: 548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.40 : 1,781.27 = 365.74 : x
  2. Step 2: Convert to fraction form
    1,187.40/1,781.27 = 365.74/x
  3. Step 3: Cross multiply
    1,187.40x = 1,781.27 × 365.74
  4. Step 4: Simplify right side
    1,187.40x = 651,479.86
  5. Step 5: Solve for x
    x = 651,479.86/1,187.40
  6. Step 6: Final answer
    x = 548.66

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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.