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Finding the Fourth Proportional to 1,062.44, 1,583.24 and 1,030.72

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Solution

The fourth proportional to 1,062.44, 1,583.24 and 1,030.72 is: 1,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.44 : 1,583.24 = 1,030.72 : x
  2. Step 2: Convert to fraction form
    1,062.44/1,583.24 = 1,030.72/x
  3. Step 3: Cross multiply
    1,062.44x = 1,583.24 × 1,030.72
  4. Step 4: Simplify right side
    1,062.44x = 1,631,877.13
  5. Step 5: Solve for x
    x = 1,631,877.13/1,062.44
  6. Step 6: Final answer
    x = 1,535.97

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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.