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Finding the Fourth Proportional to 723.01, 1,084.24 and 312.11

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Solution

The fourth proportional to 723.01, 1,084.24 and 312.11 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.01 : 1,084.24 = 312.11 : x
  2. Step 2: Convert to fraction form
    723.01/1,084.24 = 312.11/x
  3. Step 3: Cross multiply
    723.01x = 1,084.24 × 312.11
  4. Step 4: Simplify right side
    723.01x = 338,400.59
  5. Step 5: Solve for x
    x = 338,400.59/723.01
  6. Step 6: Final answer
    x = 468.05

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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.