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Finding the Fourth Proportional to 1,073.39, 1,610.09 and 586.18

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Solution

The fourth proportional to 1,073.39, 1,610.09 and 586.18 is: 879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.39 : 1,610.09 = 586.18 : x
  2. Step 2: Convert to fraction form
    1,073.39/1,610.09 = 586.18/x
  3. Step 3: Cross multiply
    1,073.39x = 1,610.09 × 586.18
  4. Step 4: Simplify right side
    1,073.39x = 943,800.00
  5. Step 5: Solve for x
    x = 943,800.00/1,073.39
  6. Step 6: Final answer
    x = 879.27

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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.