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Finding the Fourth Proportional to 1,475.72, 2,036.49 and 812.57

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Solution

The fourth proportional to 1,475.72, 2,036.49 and 812.57 is: 1,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.72 : 2,036.49 = 812.57 : x
  2. Step 2: Convert to fraction form
    1,475.72/2,036.49 = 812.57/x
  3. Step 3: Cross multiply
    1,475.72x = 2,036.49 × 812.57
  4. Step 4: Simplify right side
    1,475.72x = 1,654,790.61
  5. Step 5: Solve for x
    x = 1,654,790.61/1,475.72
  6. Step 6: Final answer
    x = 1,121.35

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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.