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Finding the Fourth Proportional to 1,062.32, 1,583.05 and 1,027.52

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Solution

The fourth proportional to 1,062.32, 1,583.05 and 1,027.52 is: 1,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.32 : 1,583.05 = 1,027.52 : x
  2. Step 2: Convert to fraction form
    1,062.32/1,583.05 = 1,027.52/x
  3. Step 3: Cross multiply
    1,062.32x = 1,583.05 × 1,027.52
  4. Step 4: Simplify right side
    1,062.32x = 1,626,615.54
  5. Step 5: Solve for x
    x = 1,626,615.54/1,062.32
  6. Step 6: Final answer
    x = 1,531.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.