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Finding the Fourth Proportional to 1,024.62, 1,413.98 and 558.88

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Solution

The fourth proportional to 1,024.62, 1,413.98 and 558.88 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.62 : 1,413.98 = 558.88 : x
  2. Step 2: Convert to fraction form
    1,024.62/1,413.98 = 558.88/x
  3. Step 3: Cross multiply
    1,024.62x = 1,413.98 × 558.88
  4. Step 4: Simplify right side
    1,024.62x = 790,245.14
  5. Step 5: Solve for x
    x = 790,245.14/1,024.62
  6. Step 6: Final answer
    x = 771.26

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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.