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Finding the Fourth Proportional to 1,073.05, 1,610.48 and 586.44

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Solution

The fourth proportional to 1,073.05, 1,610.48 and 586.44 is: 880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.05 : 1,610.48 = 586.44 : x
  2. Step 2: Convert to fraction form
    1,073.05/1,610.48 = 586.44/x
  3. Step 3: Cross multiply
    1,073.05x = 1,610.48 × 586.44
  4. Step 4: Simplify right side
    1,073.05x = 944,451.36
  5. Step 5: Solve for x
    x = 944,451.36/1,073.05
  6. Step 6: Final answer
    x = 880.16

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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.