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Finding the Fourth Proportional to 823.75, 1,236.23 and 390.91

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Solution

The fourth proportional to 823.75, 1,236.23 and 390.91 is: 586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.75 : 1,236.23 = 390.91 : x
  2. Step 2: Convert to fraction form
    823.75/1,236.23 = 390.91/x
  3. Step 3: Cross multiply
    823.75x = 1,236.23 × 390.91
  4. Step 4: Simplify right side
    823.75x = 483,254.67
  5. Step 5: Solve for x
    x = 483,254.67/823.75
  6. Step 6: Final answer
    x = 586.65

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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.