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Finding the Fourth Proportional to 837.44, 1,256.16 and 471.47

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Solution

The fourth proportional to 837.44, 1,256.16 and 471.47 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,256.16 = 471.47 : x
  2. Step 2: Convert to fraction form
    837.44/1,256.16 = 471.47/x
  3. Step 3: Cross multiply
    837.44x = 1,256.16 × 471.47
  4. Step 4: Simplify right side
    837.44x = 592,241.66
  5. Step 5: Solve for x
    x = 592,241.66/837.44
  6. Step 6: Final answer
    x = 707.21

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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.