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Finding the Fourth Proportional to 817.31, 1,127.61 and 463.19

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Solution

The fourth proportional to 817.31, 1,127.61 and 463.19 is: 639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.31 : 1,127.61 = 463.19 : x
  2. Step 2: Convert to fraction form
    817.31/1,127.61 = 463.19/x
  3. Step 3: Cross multiply
    817.31x = 1,127.61 × 463.19
  4. Step 4: Simplify right side
    817.31x = 522,300.49
  5. Step 5: Solve for x
    x = 522,300.49/817.31
  6. Step 6: Final answer
    x = 639.05

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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.