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Finding the Fourth Proportional to 824.32, 1,237.25 and 434.61

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Solution

The fourth proportional to 824.32, 1,237.25 and 434.61 is: 652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.32 : 1,237.25 = 434.61 : x
  2. Step 2: Convert to fraction form
    824.32/1,237.25 = 434.61/x
  3. Step 3: Cross multiply
    824.32x = 1,237.25 × 434.61
  4. Step 4: Simplify right side
    824.32x = 537,721.22
  5. Step 5: Solve for x
    x = 537,721.22/824.32
  6. Step 6: Final answer
    x = 652.32

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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.