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Finding the Fourth Proportional to 1,023.80, 1,413.08 and 581.82

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Solution

The fourth proportional to 1,023.80, 1,413.08 and 581.82 is: 803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.80 : 1,413.08 = 581.82 : x
  2. Step 2: Convert to fraction form
    1,023.80/1,413.08 = 581.82/x
  3. Step 3: Cross multiply
    1,023.80x = 1,413.08 × 581.82
  4. Step 4: Simplify right side
    1,023.80x = 822,155.30
  5. Step 5: Solve for x
    x = 822,155.30/1,023.80
  6. Step 6: Final answer
    x = 803.05

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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.