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Finding the Fourth Proportional to 723.14, 1,084.49 and 260.86

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Solution

The fourth proportional to 723.14, 1,084.49 and 260.86 is: 391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.14 : 1,084.49 = 260.86 : x
  2. Step 2: Convert to fraction form
    723.14/1,084.49 = 260.86/x
  3. Step 3: Cross multiply
    723.14x = 1,084.49 × 260.86
  4. Step 4: Simplify right side
    723.14x = 282,898.84
  5. Step 5: Solve for x
    x = 282,898.84/723.14
  6. Step 6: Final answer
    x = 391.21

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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.