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Finding the Fourth Proportional to 823.61, 1,234.35 and 616.56

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Solution

The fourth proportional to 823.61, 1,234.35 and 616.56 is: 924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,234.35 = 616.56 : x
  2. Step 2: Convert to fraction form
    823.61/1,234.35 = 616.56/x
  3. Step 3: Cross multiply
    823.61x = 1,234.35 × 616.56
  4. Step 4: Simplify right side
    823.61x = 761,050.84
  5. Step 5: Solve for x
    x = 761,050.84/823.61
  6. Step 6: Final answer
    x = 924.04

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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.