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Finding the Fourth Proportional to 801.18, 1,200.12 and 410.01

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Solution

The fourth proportional to 801.18, 1,200.12 and 410.01 is: 614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.18 : 1,200.12 = 410.01 : x
  2. Step 2: Convert to fraction form
    801.18/1,200.12 = 410.01/x
  3. Step 3: Cross multiply
    801.18x = 1,200.12 × 410.01
  4. Step 4: Simplify right side
    801.18x = 492,061.20
  5. Step 5: Solve for x
    x = 492,061.20/801.18
  6. Step 6: Final answer
    x = 614.17

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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.