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Finding the Fourth Proportional to 1,027.42, 1,541.14 and 821.72

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Solution

The fourth proportional to 1,027.42, 1,541.14 and 821.72 is: 1,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,541.14 = 821.72 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,541.14 = 821.72/x
  3. Step 3: Cross multiply
    1,027.42x = 1,541.14 × 821.72
  4. Step 4: Simplify right side
    1,027.42x = 1,266,387.36
  5. Step 5: Solve for x
    x = 1,266,387.36/1,027.42
  6. Step 6: Final answer
    x = 1,232.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.