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Finding the Fourth Proportional to 766.85, 1,150.28 and 522.77

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Solution

The fourth proportional to 766.85, 1,150.28 and 522.77 is: 784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.85 : 1,150.28 = 522.77 : x
  2. Step 2: Convert to fraction form
    766.85/1,150.28 = 522.77/x
  3. Step 3: Cross multiply
    766.85x = 1,150.28 × 522.77
  4. Step 4: Simplify right side
    766.85x = 601,331.88
  5. Step 5: Solve for x
    x = 601,331.88/766.85
  6. Step 6: Final answer
    x = 784.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.