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Finding the Fourth Proportional to 1,187.91, 1,780.74 and 640.14

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Solution

The fourth proportional to 1,187.91, 1,780.74 and 640.14 is: 959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.91 : 1,780.74 = 640.14 : x
  2. Step 2: Convert to fraction form
    1,187.91/1,780.74 = 640.14/x
  3. Step 3: Cross multiply
    1,187.91x = 1,780.74 × 640.14
  4. Step 4: Simplify right side
    1,187.91x = 1,139,922.90
  5. Step 5: Solve for x
    x = 1,139,922.90/1,187.91
  6. Step 6: Final answer
    x = 959.60

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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.