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Finding the Fourth Proportional to 1,046.60, 1,569.90 and 635.86

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Solution

The fourth proportional to 1,046.60, 1,569.90 and 635.86 is: 953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.60 : 1,569.90 = 635.86 : x
  2. Step 2: Convert to fraction form
    1,046.60/1,569.90 = 635.86/x
  3. Step 3: Cross multiply
    1,046.60x = 1,569.90 × 635.86
  4. Step 4: Simplify right side
    1,046.60x = 998,236.61
  5. Step 5: Solve for x
    x = 998,236.61/1,046.60
  6. Step 6: Final answer
    x = 953.79

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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.