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Finding the Fourth Proportional to 722.80, 998.75 and 565.86

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Solution

The fourth proportional to 722.80, 998.75 and 565.86 is: 781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.80 : 998.75 = 565.86 : x
  2. Step 2: Convert to fraction form
    722.80/998.75 = 565.86/x
  3. Step 3: Cross multiply
    722.80x = 998.75 × 565.86
  4. Step 4: Simplify right side
    722.80x = 565,152.68
  5. Step 5: Solve for x
    x = 565,152.68/722.80
  6. Step 6: Final answer
    x = 781.89

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1.5x scale

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.