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Finding the Fourth Proportional to 1,025.44, 1,413.84 and 748.96

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Solution

The fourth proportional to 1,025.44, 1,413.84 and 748.96 is: 1,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.44 : 1,413.84 = 748.96 : x
  2. Step 2: Convert to fraction form
    1,025.44/1,413.84 = 748.96/x
  3. Step 3: Cross multiply
    1,025.44x = 1,413.84 × 748.96
  4. Step 4: Simplify right side
    1,025.44x = 1,058,909.61
  5. Step 5: Solve for x
    x = 1,058,909.61/1,025.44
  6. Step 6: Final answer
    x = 1,032.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.