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Finding the Fourth Proportional to 1,024.61, 1,413.96 and 558.86

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Solution

The fourth proportional to 1,024.61, 1,413.96 and 558.86 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.61 : 1,413.96 = 558.86 : x
  2. Step 2: Convert to fraction form
    1,024.61/1,413.96 = 558.86/x
  3. Step 3: Cross multiply
    1,024.61x = 1,413.96 × 558.86
  4. Step 4: Simplify right side
    1,024.61x = 790,205.69
  5. Step 5: Solve for x
    x = 790,205.69/1,024.61
  6. Step 6: Final answer
    x = 771.23

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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.