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Finding the Fourth Proportional to 1,023.57, 1,413.99 and 813.04

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Solution

The fourth proportional to 1,023.57, 1,413.99 and 813.04 is: 1,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.57 : 1,413.99 = 813.04 : x
  2. Step 2: Convert to fraction form
    1,023.57/1,413.99 = 813.04/x
  3. Step 3: Cross multiply
    1,023.57x = 1,413.99 × 813.04
  4. Step 4: Simplify right side
    1,023.57x = 1,149,626.89
  5. Step 5: Solve for x
    x = 1,149,626.89/1,023.57
  6. Step 6: Final answer
    x = 1,123.15

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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.