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Finding the Fourth Proportional to 1,058.72, 1,456.68 and 1,034.18

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Solution

The fourth proportional to 1,058.72, 1,456.68 and 1,034.18 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.72 : 1,456.68 = 1,034.18 : x
  2. Step 2: Convert to fraction form
    1,058.72/1,456.68 = 1,034.18/x
  3. Step 3: Cross multiply
    1,058.72x = 1,456.68 × 1,034.18
  4. Step 4: Simplify right side
    1,058.72x = 1,506,469.32
  5. Step 5: Solve for x
    x = 1,506,469.32/1,058.72
  6. Step 6: Final answer
    x = 1,422.92

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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.