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Finding the Fourth Proportional to 1,247.01, 1,869.90 and 785.15

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Solution

The fourth proportional to 1,247.01, 1,869.90 and 785.15 is: 1,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.01 : 1,869.90 = 785.15 : x
  2. Step 2: Convert to fraction form
    1,247.01/1,869.90 = 785.15/x
  3. Step 3: Cross multiply
    1,247.01x = 1,869.90 × 785.15
  4. Step 4: Simplify right side
    1,247.01x = 1,468,142.64
  5. Step 5: Solve for x
    x = 1,468,142.64/1,247.01
  6. Step 6: Final answer
    x = 1,177.33

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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.