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Finding the Fourth Proportional to 1,007.31, 1,510.97 and 276.79

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Solution

The fourth proportional to 1,007.31, 1,510.97 and 276.79 is: 415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.31 : 1,510.97 = 276.79 : x
  2. Step 2: Convert to fraction form
    1,007.31/1,510.97 = 276.79/x
  3. Step 3: Cross multiply
    1,007.31x = 1,510.97 × 276.79
  4. Step 4: Simplify right side
    1,007.31x = 418,221.39
  5. Step 5: Solve for x
    x = 418,221.39/1,007.31
  6. Step 6: Final answer
    x = 415.19

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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.