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Finding the Fourth Proportional to 1,334.24, 2,001.48 and 468.80

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Solution

The fourth proportional to 1,334.24, 2,001.48 and 468.80 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.24 : 2,001.48 = 468.80 : x
  2. Step 2: Convert to fraction form
    1,334.24/2,001.48 = 468.80/x
  3. Step 3: Cross multiply
    1,334.24x = 2,001.48 × 468.80
  4. Step 4: Simplify right side
    1,334.24x = 938,293.82
  5. Step 5: Solve for x
    x = 938,293.82/1,334.24
  6. Step 6: Final answer
    x = 703.24

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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.