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Finding the Fourth Proportional to 1,539.77, 2,308.19 and 565.13

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Solution

The fourth proportional to 1,539.77, 2,308.19 and 565.13 is: 847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.77 : 2,308.19 = 565.13 : x
  2. Step 2: Convert to fraction form
    1,539.77/2,308.19 = 565.13/x
  3. Step 3: Cross multiply
    1,539.77x = 2,308.19 × 565.13
  4. Step 4: Simplify right side
    1,539.77x = 1,304,413.05
  5. Step 5: Solve for x
    x = 1,304,413.05/1,539.77
  6. Step 6: Final answer
    x = 847.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.