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Finding the Fourth Proportional to 1,007.68, 1,390.08 and 614.56

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Solution

The fourth proportional to 1,007.68, 1,390.08 and 614.56 is: 847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.68 : 1,390.08 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,007.68/1,390.08 = 614.56/x
  3. Step 3: Cross multiply
    1,007.68x = 1,390.08 × 614.56
  4. Step 4: Simplify right side
    1,007.68x = 854,287.56
  5. Step 5: Solve for x
    x = 854,287.56/1,007.68
  6. Step 6: Final answer
    x = 847.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.