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Finding the Fourth Proportional to 1,092.32, 1,637.40 and 514.52

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Solution

The fourth proportional to 1,092.32, 1,637.40 and 514.52 is: 771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.32 : 1,637.40 = 514.52 : x
  2. Step 2: Convert to fraction form
    1,092.32/1,637.40 = 514.52/x
  3. Step 3: Cross multiply
    1,092.32x = 1,637.40 × 514.52
  4. Step 4: Simplify right side
    1,092.32x = 842,475.05
  5. Step 5: Solve for x
    x = 842,475.05/1,092.32
  6. Step 6: Final answer
    x = 771.27

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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.