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Finding the Fourth Proportional to 562.78, 776.74 and 518.86

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Solution

The fourth proportional to 562.78, 776.74 and 518.86 is: 716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.78 : 776.74 = 518.86 : x
  2. Step 2: Convert to fraction form
    562.78/776.74 = 518.86/x
  3. Step 3: Cross multiply
    562.78x = 776.74 × 518.86
  4. Step 4: Simplify right side
    562.78x = 403,019.32
  5. Step 5: Solve for x
    x = 403,019.32/562.78
  6. Step 6: Final answer
    x = 716.12

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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.