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Finding the Fourth Proportional to 1,432.75, 1,977.56 and 812.11

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Solution

The fourth proportional to 1,432.75, 1,977.56 and 812.11 is: 1,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.75 : 1,977.56 = 812.11 : x
  2. Step 2: Convert to fraction form
    1,432.75/1,977.56 = 812.11/x
  3. Step 3: Cross multiply
    1,432.75x = 1,977.56 × 812.11
  4. Step 4: Simplify right side
    1,432.75x = 1,605,996.25
  5. Step 5: Solve for x
    x = 1,605,996.25/1,432.75
  6. Step 6: Final answer
    x = 1,120.92

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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.