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Finding the Fourth Proportional to 1,074.30, 1,610.82 and 457.69

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Solution

The fourth proportional to 1,074.30, 1,610.82 and 457.69 is: 686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.30 : 1,610.82 = 457.69 : x
  2. Step 2: Convert to fraction form
    1,074.30/1,610.82 = 457.69/x
  3. Step 3: Cross multiply
    1,074.30x = 1,610.82 × 457.69
  4. Step 4: Simplify right side
    1,074.30x = 737,256.21
  5. Step 5: Solve for x
    x = 737,256.21/1,074.30
  6. Step 6: Final answer
    x = 686.27

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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.