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Finding the Fourth Proportional to 1,073.20, 1,610.28 and 585.64

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Solution

The fourth proportional to 1,073.20, 1,610.28 and 585.64 is: 878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.20 : 1,610.28 = 585.64 : x
  2. Step 2: Convert to fraction form
    1,073.20/1,610.28 = 585.64/x
  3. Step 3: Cross multiply
    1,073.20x = 1,610.28 × 585.64
  4. Step 4: Simplify right side
    1,073.20x = 943,044.38
  5. Step 5: Solve for x
    x = 943,044.38/1,073.20
  6. Step 6: Final answer
    x = 878.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.