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Finding the Fourth Proportional to 836.85, 1,154.87 and 505.22

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Solution

The fourth proportional to 836.85, 1,154.87 and 505.22 is: 697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.85 : 1,154.87 = 505.22 : x
  2. Step 2: Convert to fraction form
    836.85/1,154.87 = 505.22/x
  3. Step 3: Cross multiply
    836.85x = 1,154.87 × 505.22
  4. Step 4: Simplify right side
    836.85x = 583,455.12
  5. Step 5: Solve for x
    x = 583,455.12/836.85
  6. Step 6: Final answer
    x = 697.20

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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.