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Finding the Fourth Proportional to 1,283.38, 1,923.91 and 461.45

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Solution

The fourth proportional to 1,283.38, 1,923.91 and 461.45 is: 691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.38 : 1,923.91 = 461.45 : x
  2. Step 2: Convert to fraction form
    1,283.38/1,923.91 = 461.45/x
  3. Step 3: Cross multiply
    1,283.38x = 1,923.91 × 461.45
  4. Step 4: Simplify right side
    1,283.38x = 887,791.93
  5. Step 5: Solve for x
    x = 887,791.93/1,283.38
  6. Step 6: Final answer
    x = 691.76

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1.5x scale

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.