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Finding the Fourth Proportional to 836.88, 1,253.50 and 471.48

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Solution

The fourth proportional to 836.88, 1,253.50 and 471.48 is: 706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.88 : 1,253.50 = 471.48 : x
  2. Step 2: Convert to fraction form
    836.88/1,253.50 = 471.48/x
  3. Step 3: Cross multiply
    836.88x = 1,253.50 × 471.48
  4. Step 4: Simplify right side
    836.88x = 591,000.18
  5. Step 5: Solve for x
    x = 591,000.18/836.88
  6. Step 6: Final answer
    x = 706.19

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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.