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Finding the Fourth Proportional to 723.90, 1,084.62 and 399.48

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Solution

The fourth proportional to 723.90, 1,084.62 and 399.48 is: 598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.90 : 1,084.62 = 399.48 : x
  2. Step 2: Convert to fraction form
    723.90/1,084.62 = 399.48/x
  3. Step 3: Cross multiply
    723.90x = 1,084.62 × 399.48
  4. Step 4: Simplify right side
    723.90x = 433,284.00
  5. Step 5: Solve for x
    x = 433,284.00/723.90
  6. Step 6: Final answer
    x = 598.54

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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.