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Finding the Fourth Proportional to 1,058.47, 1,584.56 and 1,013.36

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Solution

The fourth proportional to 1,058.47, 1,584.56 and 1,013.36 is: 1,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.47 : 1,584.56 = 1,013.36 : x
  2. Step 2: Convert to fraction form
    1,058.47/1,584.56 = 1,013.36/x
  3. Step 3: Cross multiply
    1,058.47x = 1,584.56 × 1,013.36
  4. Step 4: Simplify right side
    1,058.47x = 1,605,724.33
  5. Step 5: Solve for x
    x = 1,605,724.33/1,058.47
  6. Step 6: Final answer
    x = 1,517.03

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