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Finding the Fourth Proportional to 1,132.91, 1,698.30 and 440.03

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Solution

The fourth proportional to 1,132.91, 1,698.30 and 440.03 is: 659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.91 : 1,698.30 = 440.03 : x
  2. Step 2: Convert to fraction form
    1,132.91/1,698.30 = 440.03/x
  3. Step 3: Cross multiply
    1,132.91x = 1,698.30 × 440.03
  4. Step 4: Simplify right side
    1,132.91x = 747,294.46
  5. Step 5: Solve for x
    x = 747,294.46/1,132.91
  6. Step 6: Final answer
    x = 659.63

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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.