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Finding the Fourth Proportional to 723.30, 1,084.84 and 414.14

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Solution

The fourth proportional to 723.30, 1,084.84 and 414.14 is: 621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.30 : 1,084.84 = 414.14 : x
  2. Step 2: Convert to fraction form
    723.30/1,084.84 = 414.14/x
  3. Step 3: Cross multiply
    723.30x = 1,084.84 × 414.14
  4. Step 4: Simplify right side
    723.30x = 449,275.64
  5. Step 5: Solve for x
    x = 449,275.64/723.30
  6. Step 6: Final answer
    x = 621.15

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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.