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Finding the Fourth Proportional to 723.16, 1,084.53 and 414.96

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Solution

The fourth proportional to 723.16, 1,084.53 and 414.96 is: 622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.16 : 1,084.53 = 414.96 : x
  2. Step 2: Convert to fraction form
    723.16/1,084.53 = 414.96/x
  3. Step 3: Cross multiply
    723.16x = 1,084.53 × 414.96
  4. Step 4: Simplify right side
    723.16x = 450,036.57
  5. Step 5: Solve for x
    x = 450,036.57/723.16
  6. Step 6: Final answer
    x = 622.32

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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.