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Finding the Fourth Proportional to 1,306.48, 1,960.31 and 649.01

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Solution

The fourth proportional to 1,306.48, 1,960.31 and 649.01 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.48 : 1,960.31 = 649.01 : x
  2. Step 2: Convert to fraction form
    1,306.48/1,960.31 = 649.01/x
  3. Step 3: Cross multiply
    1,306.48x = 1,960.31 × 649.01
  4. Step 4: Simplify right side
    1,306.48x = 1,272,260.79
  5. Step 5: Solve for x
    x = 1,272,260.79/1,306.48
  6. Step 6: Final answer
    x = 973.81

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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.