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Finding the Fourth Proportional to 1,475.31, 2,035.92 and 812.15

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Solution

The fourth proportional to 1,475.31, 2,035.92 and 812.15 is: 1,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.31 : 2,035.92 = 812.15 : x
  2. Step 2: Convert to fraction form
    1,475.31/2,035.92 = 812.15/x
  3. Step 3: Cross multiply
    1,475.31x = 2,035.92 × 812.15
  4. Step 4: Simplify right side
    1,475.31x = 1,653,462.25
  5. Step 5: Solve for x
    x = 1,653,462.25/1,475.31
  6. Step 6: Final answer
    x = 1,120.76

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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.