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Finding the Fourth Proportional to 1,282.89, 1,924.65 and 461.22

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Solution

The fourth proportional to 1,282.89, 1,924.65 and 461.22 is: 691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.89 : 1,924.65 = 461.22 : x
  2. Step 2: Convert to fraction form
    1,282.89/1,924.65 = 461.22/x
  3. Step 3: Cross multiply
    1,282.89x = 1,924.65 × 461.22
  4. Step 4: Simplify right side
    1,282.89x = 887,687.07
  5. Step 5: Solve for x
    x = 887,687.07/1,282.89
  6. Step 6: Final answer
    x = 691.94

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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.