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Finding the Fourth Proportional to 1,078.47, 1,488.50 and 685.95

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Solution

The fourth proportional to 1,078.47, 1,488.50 and 685.95 is: 946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.47 : 1,488.50 = 685.95 : x
  2. Step 2: Convert to fraction form
    1,078.47/1,488.50 = 685.95/x
  3. Step 3: Cross multiply
    1,078.47x = 1,488.50 × 685.95
  4. Step 4: Simplify right side
    1,078.47x = 1,021,033.15
  5. Step 5: Solve for x
    x = 1,021,033.15/1,078.47
  6. Step 6: Final answer
    x = 946.74

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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.