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Finding the Fourth Proportional to 1,058.99, 1,456.75 and 998.50

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Solution

The fourth proportional to 1,058.99, 1,456.75 and 998.50 is: 1,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.99 : 1,456.75 = 998.50 : x
  2. Step 2: Convert to fraction form
    1,058.99/1,456.75 = 998.50/x
  3. Step 3: Cross multiply
    1,058.99x = 1,456.75 × 998.50
  4. Step 4: Simplify right side
    1,058.99x = 1,454,565.10
  5. Step 5: Solve for x
    x = 1,454,565.10/1,058.99
  6. Step 6: Final answer
    x = 1,373.54

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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.