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Finding the Fourth Proportional to 1,283.05, 1,923.79 and 502.91

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Solution

The fourth proportional to 1,283.05, 1,923.79 and 502.91 is: 754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.05 : 1,923.79 = 502.91 : x
  2. Step 2: Convert to fraction form
    1,283.05/1,923.79 = 502.91/x
  3. Step 3: Cross multiply
    1,283.05x = 1,923.79 × 502.91
  4. Step 4: Simplify right side
    1,283.05x = 967,493.23
  5. Step 5: Solve for x
    x = 967,493.23/1,283.05
  6. Step 6: Final answer
    x = 754.06

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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.