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Finding the Fourth Proportional to 723.23, 1,084.16 and 445.71

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Solution

The fourth proportional to 723.23, 1,084.16 and 445.71 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.23 : 1,084.16 = 445.71 : x
  2. Step 2: Convert to fraction form
    723.23/1,084.16 = 445.71/x
  3. Step 3: Cross multiply
    723.23x = 1,084.16 × 445.71
  4. Step 4: Simplify right side
    723.23x = 483,216.11
  5. Step 5: Solve for x
    x = 483,216.11/723.23
  6. Step 6: Final answer
    x = 668.14

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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.