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Finding the Fourth Proportional to 1,334.50, 2,001.75 and 468.84

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Solution

The fourth proportional to 1,334.50, 2,001.75 and 468.84 is: 703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.50 : 2,001.75 = 468.84 : x
  2. Step 2: Convert to fraction form
    1,334.50/2,001.75 = 468.84/x
  3. Step 3: Cross multiply
    1,334.50x = 2,001.75 × 468.84
  4. Step 4: Simplify right side
    1,334.50x = 938,500.47
  5. Step 5: Solve for x
    x = 938,500.47/1,334.50
  6. Step 6: Final answer
    x = 703.26

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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.