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Finding the Fourth Proportional to 1,334.48, 2,001.87 and 468.59

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Solution

The fourth proportional to 1,334.48, 2,001.87 and 468.59 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.48 : 2,001.87 = 468.59 : x
  2. Step 2: Convert to fraction form
    1,334.48/2,001.87 = 468.59/x
  3. Step 3: Cross multiply
    1,334.48x = 2,001.87 × 468.59
  4. Step 4: Simplify right side
    1,334.48x = 938,046.25
  5. Step 5: Solve for x
    x = 938,046.25/1,334.48
  6. Step 6: Final answer
    x = 702.93

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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.