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Finding the Fourth Proportional to 561.28, 777.84 and 553.45

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Solution

The fourth proportional to 561.28, 777.84 and 553.45 is: 766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.28 : 777.84 = 553.45 : x
  2. Step 2: Convert to fraction form
    561.28/777.84 = 553.45/x
  3. Step 3: Cross multiply
    561.28x = 777.84 × 553.45
  4. Step 4: Simplify right side
    561.28x = 430,493.04
  5. Step 5: Solve for x
    x = 430,493.04/561.28
  6. Step 6: Final answer
    x = 766.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.