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Finding the Fourth Proportional to 1,100.32, 1,648.32 and 521.44

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Solution

The fourth proportional to 1,100.32, 1,648.32 and 521.44 is: 781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.32 : 1,648.32 = 521.44 : x
  2. Step 2: Convert to fraction form
    1,100.32/1,648.32 = 521.44/x
  3. Step 3: Cross multiply
    1,100.32x = 1,648.32 × 521.44
  4. Step 4: Simplify right side
    1,100.32x = 859,499.98
  5. Step 5: Solve for x
    x = 859,499.98/1,100.32
  6. Step 6: Final answer
    x = 781.14

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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.