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Finding the Fourth Proportional to 836.34, 1,254.48 and 471.13

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Solution

The fourth proportional to 836.34, 1,254.48 and 471.13 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.34 : 1,254.48 = 471.13 : x
  2. Step 2: Convert to fraction form
    836.34/1,254.48 = 471.13/x
  3. Step 3: Cross multiply
    836.34x = 1,254.48 × 471.13
  4. Step 4: Simplify right side
    836.34x = 591,023.16
  5. Step 5: Solve for x
    x = 591,023.16/836.34
  6. Step 6: Final answer
    x = 706.68

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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.