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Finding the Fourth Proportional to 901.80, 1,350.25 and 468.04

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Solution

The fourth proportional to 901.80, 1,350.25 and 468.04 is: 700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.80 : 1,350.25 = 468.04 : x
  2. Step 2: Convert to fraction form
    901.80/1,350.25 = 468.04/x
  3. Step 3: Cross multiply
    901.80x = 1,350.25 × 468.04
  4. Step 4: Simplify right side
    901.80x = 631,971.01
  5. Step 5: Solve for x
    x = 631,971.01/901.80
  6. Step 6: Final answer
    x = 700.79

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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.