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Finding the Fourth Proportional to 1,536.67, 2,304.33 and 440.78

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Solution

The fourth proportional to 1,536.67, 2,304.33 and 440.78 is: 660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.67 : 2,304.33 = 440.78 : x
  2. Step 2: Convert to fraction form
    1,536.67/2,304.33 = 440.78/x
  3. Step 3: Cross multiply
    1,536.67x = 2,304.33 × 440.78
  4. Step 4: Simplify right side
    1,536.67x = 1,015,702.58
  5. Step 5: Solve for x
    x = 1,015,702.58/1,536.67
  6. Step 6: Final answer
    x = 660.98

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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.