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Finding the Fourth Proportional to 1,016.74, 1,521.46 and 649.81

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Solution

The fourth proportional to 1,016.74, 1,521.46 and 649.81 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.74 : 1,521.46 = 649.81 : x
  2. Step 2: Convert to fraction form
    1,016.74/1,521.46 = 649.81/x
  3. Step 3: Cross multiply
    1,016.74x = 1,521.46 × 649.81
  4. Step 4: Simplify right side
    1,016.74x = 988,659.92
  5. Step 5: Solve for x
    x = 988,659.92/1,016.74
  6. Step 6: Final answer
    x = 972.38

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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.