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Finding the Fourth Proportional to 1,474.71, 2,212.62 and 653.07

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Solution

The fourth proportional to 1,474.71, 2,212.62 and 653.07 is: 979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.71 : 2,212.62 = 653.07 : x
  2. Step 2: Convert to fraction form
    1,474.71/2,212.62 = 653.07/x
  3. Step 3: Cross multiply
    1,474.71x = 2,212.62 × 653.07
  4. Step 4: Simplify right side
    1,474.71x = 1,444,995.74
  5. Step 5: Solve for x
    x = 1,444,995.74/1,474.71
  6. Step 6: Final answer
    x = 979.85

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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.