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Finding the Fourth Proportional to 1,074.60, 1,610.54 and 458.15

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Solution

The fourth proportional to 1,074.60, 1,610.54 and 458.15 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.60 : 1,610.54 = 458.15 : x
  2. Step 2: Convert to fraction form
    1,074.60/1,610.54 = 458.15/x
  3. Step 3: Cross multiply
    1,074.60x = 1,610.54 × 458.15
  4. Step 4: Simplify right side
    1,074.60x = 737,858.56
  5. Step 5: Solve for x
    x = 737,858.56/1,074.60
  6. Step 6: Final answer
    x = 686.64

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