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Finding the Fourth Proportional to 1,334.13, 2,002.10 and 468.44

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Solution

The fourth proportional to 1,334.13, 2,002.10 and 468.44 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.13 : 2,002.10 = 468.44 : x
  2. Step 2: Convert to fraction form
    1,334.13/2,002.10 = 468.44/x
  3. Step 3: Cross multiply
    1,334.13x = 2,002.10 × 468.44
  4. Step 4: Simplify right side
    1,334.13x = 937,863.72
  5. Step 5: Solve for x
    x = 937,863.72/1,334.13
  6. Step 6: Final answer
    x = 702.98

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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.