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Finding the Fourth Proportional to 1,282.81, 1,924.46 and 461.05

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Solution

The fourth proportional to 1,282.81, 1,924.46 and 461.05 is: 691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.81 : 1,924.46 = 461.05 : x
  2. Step 2: Convert to fraction form
    1,282.81/1,924.46 = 461.05/x
  3. Step 3: Cross multiply
    1,282.81x = 1,924.46 × 461.05
  4. Step 4: Simplify right side
    1,282.81x = 887,272.28
  5. Step 5: Solve for x
    x = 887,272.28/1,282.81
  6. Step 6: Final answer
    x = 691.66

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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.