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Finding the Fourth Proportional to 837.74, 1,256.45 and 468.25

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Solution

The fourth proportional to 837.74, 1,256.45 and 468.25 is: 702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.74 : 1,256.45 = 468.25 : x
  2. Step 2: Convert to fraction form
    837.74/1,256.45 = 468.25/x
  3. Step 3: Cross multiply
    837.74x = 1,256.45 × 468.25
  4. Step 4: Simplify right side
    837.74x = 588,327.23
  5. Step 5: Solve for x
    x = 588,327.23/837.74
  6. Step 6: Final answer
    x = 702.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.