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Finding the Fourth Proportional to 1,132.27, 1,698.40 and 310.55

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Solution

The fourth proportional to 1,132.27, 1,698.40 and 310.55 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.27 : 1,698.40 = 310.55 : x
  2. Step 2: Convert to fraction form
    1,132.27/1,698.40 = 310.55/x
  3. Step 3: Cross multiply
    1,132.27x = 1,698.40 × 310.55
  4. Step 4: Simplify right side
    1,132.27x = 527,438.12
  5. Step 5: Solve for x
    x = 527,438.12/1,132.27
  6. Step 6: Final answer
    x = 465.82

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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.