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Finding the Fourth Proportional to 836.80, 1,256.55 and 564.10

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Solution

The fourth proportional to 836.80, 1,256.55 and 564.10 is: 847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.80 : 1,256.55 = 564.10 : x
  2. Step 2: Convert to fraction form
    836.80/1,256.55 = 564.10/x
  3. Step 3: Cross multiply
    836.80x = 1,256.55 × 564.10
  4. Step 4: Simplify right side
    836.80x = 708,819.86
  5. Step 5: Solve for x
    x = 708,819.86/836.80
  6. Step 6: Final answer
    x = 847.06

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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.