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Finding the Fourth Proportional to 1,334.01, 2,001.21 and 468.25

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Solution

The fourth proportional to 1,334.01, 2,001.21 and 468.25 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.01 : 2,001.21 = 468.25 : x
  2. Step 2: Convert to fraction form
    1,334.01/2,001.21 = 468.25/x
  3. Step 3: Cross multiply
    1,334.01x = 2,001.21 × 468.25
  4. Step 4: Simplify right side
    1,334.01x = 937,066.58
  5. Step 5: Solve for x
    x = 937,066.58/1,334.01
  6. Step 6: Final answer
    x = 702.44

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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.