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Finding the Fourth Proportional to 836.32, 1,254.71 and 471.41

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Solution

The fourth proportional to 836.32, 1,254.71 and 471.41 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.32 : 1,254.71 = 471.41 : x
  2. Step 2: Convert to fraction form
    836.32/1,254.71 = 471.41/x
  3. Step 3: Cross multiply
    836.32x = 1,254.71 × 471.41
  4. Step 4: Simplify right side
    836.32x = 591,487.16
  5. Step 5: Solve for x
    x = 591,487.16/836.32
  6. Step 6: Final answer
    x = 707.25

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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.