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Finding the Fourth Proportional to 1,101.53, 1,520.30 and 659.52

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Solution

The fourth proportional to 1,101.53, 1,520.30 and 659.52 is: 910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.53 : 1,520.30 = 659.52 : x
  2. Step 2: Convert to fraction form
    1,101.53/1,520.30 = 659.52/x
  3. Step 3: Cross multiply
    1,101.53x = 1,520.30 × 659.52
  4. Step 4: Simplify right side
    1,101.53x = 1,002,664.96
  5. Step 5: Solve for x
    x = 1,002,664.96/1,101.53
  6. Step 6: Final answer
    x = 910.25

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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.