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Finding the Fourth Proportional to 1,050.92, 1,577.36 and 531.29

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Solution

The fourth proportional to 1,050.92, 1,577.36 and 531.29 is: 797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.92 : 1,577.36 = 531.29 : x
  2. Step 2: Convert to fraction form
    1,050.92/1,577.36 = 531.29/x
  3. Step 3: Cross multiply
    1,050.92x = 1,577.36 × 531.29
  4. Step 4: Simplify right side
    1,050.92x = 838,025.05
  5. Step 5: Solve for x
    x = 838,025.05/1,050.92
  6. Step 6: Final answer
    x = 797.42

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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.