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Finding the Fourth Proportional to 561.92, 776.02 and 500.80

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Solution

The fourth proportional to 561.92, 776.02 and 500.80 is: 691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.92 : 776.02 = 500.80 : x
  2. Step 2: Convert to fraction form
    561.92/776.02 = 500.80/x
  3. Step 3: Cross multiply
    561.92x = 776.02 × 500.80
  4. Step 4: Simplify right side
    561.92x = 388,630.82
  5. Step 5: Solve for x
    x = 388,630.82/561.92
  6. Step 6: Final answer
    x = 691.61

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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.