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Finding the Fourth Proportional to 1,187.20, 1,781.73 and 956.65

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Solution

The fourth proportional to 1,187.20, 1,781.73 and 956.65 is: 1,435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.20 : 1,781.73 = 956.65 : x
  2. Step 2: Convert to fraction form
    1,187.20/1,781.73 = 956.65/x
  3. Step 3: Cross multiply
    1,187.20x = 1,781.73 × 956.65
  4. Step 4: Simplify right side
    1,187.20x = 1,704,492.00
  5. Step 5: Solve for x
    x = 1,704,492.00/1,187.20
  6. Step 6: Final answer
    x = 1,435.72

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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.