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Finding the Fourth Proportional to 1,023.76, 1,413.03 and 604.18

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Solution

The fourth proportional to 1,023.76, 1,413.03 and 604.18 is: 833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.76 : 1,413.03 = 604.18 : x
  2. Step 2: Convert to fraction form
    1,023.76/1,413.03 = 604.18/x
  3. Step 3: Cross multiply
    1,023.76x = 1,413.03 × 604.18
  4. Step 4: Simplify right side
    1,023.76x = 853,724.47
  5. Step 5: Solve for x
    x = 853,724.47/1,023.76
  6. Step 6: Final answer
    x = 833.91

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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.