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Finding the Fourth Proportional to 1,283.02, 1,924.68 and 461.14

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Solution

The fourth proportional to 1,283.02, 1,924.68 and 461.14 is: 691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.02 : 1,924.68 = 461.14 : x
  2. Step 2: Convert to fraction form
    1,283.02/1,924.68 = 461.14/x
  3. Step 3: Cross multiply
    1,283.02x = 1,924.68 × 461.14
  4. Step 4: Simplify right side
    1,283.02x = 887,546.94
  5. Step 5: Solve for x
    x = 887,546.94/1,283.02
  6. Step 6: Final answer
    x = 691.76

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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.