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Finding the Fourth Proportional to 1,204.30, 1,806.69 and 463.88

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Solution

The fourth proportional to 1,204.30, 1,806.69 and 463.88 is: 695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.30 : 1,806.69 = 463.88 : x
  2. Step 2: Convert to fraction form
    1,204.30/1,806.69 = 463.88/x
  3. Step 3: Cross multiply
    1,204.30x = 1,806.69 × 463.88
  4. Step 4: Simplify right side
    1,204.30x = 838,078.32
  5. Step 5: Solve for x
    x = 838,078.32/1,204.30
  6. Step 6: Final answer
    x = 695.91

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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.