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Finding the Fourth Proportional to 1,120.97, 1,670.19 and 1,058.10

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Solution

The fourth proportional to 1,120.97, 1,670.19 and 1,058.10 is: 1,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.97 : 1,670.19 = 1,058.10 : x
  2. Step 2: Convert to fraction form
    1,120.97/1,670.19 = 1,058.10/x
  3. Step 3: Cross multiply
    1,120.97x = 1,670.19 × 1,058.10
  4. Step 4: Simplify right side
    1,120.97x = 1,767,228.04
  5. Step 5: Solve for x
    x = 1,767,228.04/1,120.97
  6. Step 6: Final answer
    x = 1,576.52

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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.