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Finding the Fourth Proportional to 823.52, 1,234.68 and 476.36

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Solution

The fourth proportional to 823.52, 1,234.68 and 476.36 is: 714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,234.68 = 476.36 : x
  2. Step 2: Convert to fraction form
    823.52/1,234.68 = 476.36/x
  3. Step 3: Cross multiply
    823.52x = 1,234.68 × 476.36
  4. Step 4: Simplify right side
    823.52x = 588,152.16
  5. Step 5: Solve for x
    x = 588,152.16/823.52
  6. Step 6: Final answer
    x = 714.19

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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.