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Finding the Fourth Proportional to 1,475.89, 2,036.71 and 812.72

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Solution

The fourth proportional to 1,475.89, 2,036.71 and 812.72 is: 1,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.89 : 2,036.71 = 812.72 : x
  2. Step 2: Convert to fraction form
    1,475.89/2,036.71 = 812.72/x
  3. Step 3: Cross multiply
    1,475.89x = 2,036.71 × 812.72
  4. Step 4: Simplify right side
    1,475.89x = 1,655,274.95
  5. Step 5: Solve for x
    x = 1,655,274.95/1,475.89
  6. Step 6: Final answer
    x = 1,121.54

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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.