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Finding the Fourth Proportional to 1,306.74, 1,960.96 and 576.30

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Solution

The fourth proportional to 1,306.74, 1,960.96 and 576.30 is: 864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.74 : 1,960.96 = 576.30 : x
  2. Step 2: Convert to fraction form
    1,306.74/1,960.96 = 576.30/x
  3. Step 3: Cross multiply
    1,306.74x = 1,960.96 × 576.30
  4. Step 4: Simplify right side
    1,306.74x = 1,130,101.25
  5. Step 5: Solve for x
    x = 1,130,101.25/1,306.74
  6. Step 6: Final answer
    x = 864.82

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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.