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Finding the Fourth Proportional to 825.84, 1,239.10 and 392.72

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Solution

The fourth proportional to 825.84, 1,239.10 and 392.72 is: 589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.84 : 1,239.10 = 392.72 : x
  2. Step 2: Convert to fraction form
    825.84/1,239.10 = 392.72/x
  3. Step 3: Cross multiply
    825.84x = 1,239.10 × 392.72
  4. Step 4: Simplify right side
    825.84x = 486,619.35
  5. Step 5: Solve for x
    x = 486,619.35/825.84
  6. Step 6: Final answer
    x = 589.24

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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.