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Finding the Fourth Proportional to 1,073.67, 1,610.10 and 456.99

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Solution

The fourth proportional to 1,073.67, 1,610.10 and 456.99 is: 685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.67 : 1,610.10 = 456.99 : x
  2. Step 2: Convert to fraction form
    1,073.67/1,610.10 = 456.99/x
  3. Step 3: Cross multiply
    1,073.67x = 1,610.10 × 456.99
  4. Step 4: Simplify right side
    1,073.67x = 735,799.60
  5. Step 5: Solve for x
    x = 735,799.60/1,073.67
  6. Step 6: Final answer
    x = 685.31

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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.