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Finding the Fourth Proportional to 1,459.08, 2,013.39 and 869.54

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Solution

The fourth proportional to 1,459.08, 2,013.39 and 869.54 is: 1,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.08 : 2,013.39 = 869.54 : x
  2. Step 2: Convert to fraction form
    1,459.08/2,013.39 = 869.54/x
  3. Step 3: Cross multiply
    1,459.08x = 2,013.39 × 869.54
  4. Step 4: Simplify right side
    1,459.08x = 1,750,713.07
  5. Step 5: Solve for x
    x = 1,750,713.07/1,459.08
  6. Step 6: Final answer
    x = 1,199.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.