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Finding the Fourth Proportional to 1,120.47, 1,681.39 and 659.15

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Solution

The fourth proportional to 1,120.47, 1,681.39 and 659.15 is: 989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.47 : 1,681.39 = 659.15 : x
  2. Step 2: Convert to fraction form
    1,120.47/1,681.39 = 659.15/x
  3. Step 3: Cross multiply
    1,120.47x = 1,681.39 × 659.15
  4. Step 4: Simplify right side
    1,120.47x = 1,108,288.22
  5. Step 5: Solve for x
    x = 1,108,288.22/1,120.47
  6. Step 6: Final answer
    x = 989.13

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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.