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Finding the Fourth Proportional to 1,534.46, 2,302.13 and 656.48

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Solution

The fourth proportional to 1,534.46, 2,302.13 and 656.48 is: 984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.46 : 2,302.13 = 656.48 : x
  2. Step 2: Convert to fraction form
    1,534.46/2,302.13 = 656.48/x
  3. Step 3: Cross multiply
    1,534.46x = 2,302.13 × 656.48
  4. Step 4: Simplify right side
    1,534.46x = 1,511,309.70
  5. Step 5: Solve for x
    x = 1,511,309.70/1,534.46
  6. Step 6: Final answer
    x = 984.92

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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.