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Finding the Fourth Proportional to 817.88, 1,128.54 and 463.70

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Solution

The fourth proportional to 817.88, 1,128.54 and 463.70 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.88 : 1,128.54 = 463.70 : x
  2. Step 2: Convert to fraction form
    817.88/1,128.54 = 463.70/x
  3. Step 3: Cross multiply
    817.88x = 1,128.54 × 463.70
  4. Step 4: Simplify right side
    817.88x = 523,304.00
  5. Step 5: Solve for x
    x = 523,304.00/817.88
  6. Step 6: Final answer
    x = 639.83

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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.