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Finding the Fourth Proportional to 1,287.80, 1,931.66 and 739.59

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Solution

The fourth proportional to 1,287.80, 1,931.66 and 739.59 is: 1,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.80 : 1,931.66 = 739.59 : x
  2. Step 2: Convert to fraction form
    1,287.80/1,931.66 = 739.59/x
  3. Step 3: Cross multiply
    1,287.80x = 1,931.66 × 739.59
  4. Step 4: Simplify right side
    1,287.80x = 1,428,632.72
  5. Step 5: Solve for x
    x = 1,428,632.72/1,287.80
  6. Step 6: Final answer
    x = 1,109.36

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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.