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Finding the Fourth Proportional to 631.60, 871.77 and 565.99

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Solution

The fourth proportional to 631.60, 871.77 and 565.99 is: 781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 871.77 = 565.99 : x
  2. Step 2: Convert to fraction form
    631.60/871.77 = 565.99/x
  3. Step 3: Cross multiply
    631.60x = 871.77 × 565.99
  4. Step 4: Simplify right side
    631.60x = 493,413.10
  5. Step 5: Solve for x
    x = 493,413.10/631.60
  6. Step 6: Final answer
    x = 781.21

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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.