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Finding the Fourth Proportional to 1,046.70, 1,443.78 and 642.75

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Solution

The fourth proportional to 1,046.70, 1,443.78 and 642.75 is: 886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.70 : 1,443.78 = 642.75 : x
  2. Step 2: Convert to fraction form
    1,046.70/1,443.78 = 642.75/x
  3. Step 3: Cross multiply
    1,046.70x = 1,443.78 × 642.75
  4. Step 4: Simplify right side
    1,046.70x = 927,989.60
  5. Step 5: Solve for x
    x = 927,989.60/1,046.70
  6. Step 6: Final answer
    x = 886.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.