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Finding the Fourth Proportional to 723.33, 1,082.16 and 478.71

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Solution

The fourth proportional to 723.33, 1,082.16 and 478.71 is: 716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.33 : 1,082.16 = 478.71 : x
  2. Step 2: Convert to fraction form
    723.33/1,082.16 = 478.71/x
  3. Step 3: Cross multiply
    723.33x = 1,082.16 × 478.71
  4. Step 4: Simplify right side
    723.33x = 518,040.81
  5. Step 5: Solve for x
    x = 518,040.81/723.33
  6. Step 6: Final answer
    x = 716.19

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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.