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Finding the Fourth Proportional to 723.04, 1,084.56 and 466

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Solution

The fourth proportional to 723.04, 1,084.56 and 466 is: 699

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.04 : 1,084.56 = 466 : x
  2. Step 2: Convert to fraction form
    723.04/1,084.56 = 466/x
  3. Step 3: Cross multiply
    723.04x = 1,084.56 × 466
  4. Step 4: Simplify right side
    723.04x = 505,404.96
  5. Step 5: Solve for x
    x = 505,404.96/723.04
  6. Step 6: Final answer
    x = 699

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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.