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Finding the Fourth Proportional to 723.02, 1,084.73 and 260.78

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Solution

The fourth proportional to 723.02, 1,084.73 and 260.78 is: 391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.02 : 1,084.73 = 260.78 : x
  2. Step 2: Convert to fraction form
    723.02/1,084.73 = 260.78/x
  3. Step 3: Cross multiply
    723.02x = 1,084.73 × 260.78
  4. Step 4: Simplify right side
    723.02x = 282,869.16
  5. Step 5: Solve for x
    x = 282,869.16/723.02
  6. Step 6: Final answer
    x = 391.24

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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.