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Finding the Fourth Proportional to 1,282.12, 1,921.95 and 502.63

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Solution

The fourth proportional to 1,282.12, 1,921.95 and 502.63 is: 753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.12 : 1,921.95 = 502.63 : x
  2. Step 2: Convert to fraction form
    1,282.12/1,921.95 = 502.63/x
  3. Step 3: Cross multiply
    1,282.12x = 1,921.95 × 502.63
  4. Step 4: Simplify right side
    1,282.12x = 966,024.92
  5. Step 5: Solve for x
    x = 966,024.92/1,282.12
  6. Step 6: Final answer
    x = 753.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.