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Finding the Fourth Proportional to 723.53, 1,084.78 and 358.23

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Solution

The fourth proportional to 723.53, 1,084.78 and 358.23 is: 537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.53 : 1,084.78 = 358.23 : x
  2. Step 2: Convert to fraction form
    723.53/1,084.78 = 358.23/x
  3. Step 3: Cross multiply
    723.53x = 1,084.78 × 358.23
  4. Step 4: Simplify right side
    723.53x = 388,600.74
  5. Step 5: Solve for x
    x = 388,600.74/723.53
  6. Step 6: Final answer
    x = 537.09

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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.