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Finding the Fourth Proportional to 1,024.02, 1,413.16 and 558.26

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Solution

The fourth proportional to 1,024.02, 1,413.16 and 558.26 is: 770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,413.16 = 558.26 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,413.16 = 558.26/x
  3. Step 3: Cross multiply
    1,024.02x = 1,413.16 × 558.26
  4. Step 4: Simplify right side
    1,024.02x = 788,910.70
  5. Step 5: Solve for x
    x = 788,910.70/1,024.02
  6. Step 6: Final answer
    x = 770.41

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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.