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Finding the Fourth Proportional to 1,459.27, 2,013.55 and 869.59

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Solution

The fourth proportional to 1,459.27, 2,013.55 and 869.59 is: 1,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.27 : 2,013.55 = 869.59 : x
  2. Step 2: Convert to fraction form
    1,459.27/2,013.55 = 869.59/x
  3. Step 3: Cross multiply
    1,459.27x = 2,013.55 × 869.59
  4. Step 4: Simplify right side
    1,459.27x = 1,750,962.94
  5. Step 5: Solve for x
    x = 1,750,962.94/1,459.27
  6. Step 6: Final answer
    x = 1,199.89

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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.