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Finding the Fourth Proportional to 823.61, 1,135.82 and 614.30

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Solution

The fourth proportional to 823.61, 1,135.82 and 614.30 is: 847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,135.82 = 614.30 : x
  2. Step 2: Convert to fraction form
    823.61/1,135.82 = 614.30/x
  3. Step 3: Cross multiply
    823.61x = 1,135.82 × 614.30
  4. Step 4: Simplify right side
    823.61x = 697,725.48
  5. Step 5: Solve for x
    x = 697,725.48/823.61
  6. Step 6: Final answer
    x = 847.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.