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Finding the Fourth Proportional to 1,642.24, 2,462.99 and 472.24

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Solution

The fourth proportional to 1,642.24, 2,462.99 and 472.24 is: 708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.24 : 2,462.99 = 472.24 : x
  2. Step 2: Convert to fraction form
    1,642.24/2,462.99 = 472.24/x
  3. Step 3: Cross multiply
    1,642.24x = 2,462.99 × 472.24
  4. Step 4: Simplify right side
    1,642.24x = 1,163,121.22
  5. Step 5: Solve for x
    x = 1,163,121.22/1,642.24
  6. Step 6: Final answer
    x = 708.25

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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.