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Finding the Fourth Proportional to 561.78, 775.36 and 517.86

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Solution

The fourth proportional to 561.78, 775.36 and 517.86 is: 714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.78 : 775.36 = 517.86 : x
  2. Step 2: Convert to fraction form
    561.78/775.36 = 517.86/x
  3. Step 3: Cross multiply
    561.78x = 775.36 × 517.86
  4. Step 4: Simplify right side
    561.78x = 401,527.93
  5. Step 5: Solve for x
    x = 401,527.93/561.78
  6. Step 6: Final answer
    x = 714.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.