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Finding the Fourth Proportional to 1,078.64, 1,488.30 and 685.52

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Solution

The fourth proportional to 1,078.64, 1,488.30 and 685.52 is: 945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.64 : 1,488.30 = 685.52 : x
  2. Step 2: Convert to fraction form
    1,078.64/1,488.30 = 685.52/x
  3. Step 3: Cross multiply
    1,078.64x = 1,488.30 × 685.52
  4. Step 4: Simplify right side
    1,078.64x = 1,020,259.42
  5. Step 5: Solve for x
    x = 1,020,259.42/1,078.64
  6. Step 6: Final answer
    x = 945.88

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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.