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Finding the Fourth Proportional to 1,868.91, 2,803.28 and 482.25

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Solution

The fourth proportional to 1,868.91, 2,803.28 and 482.25 is: 723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.91 : 2,803.28 = 482.25 : x
  2. Step 2: Convert to fraction form
    1,868.91/2,803.28 = 482.25/x
  3. Step 3: Cross multiply
    1,868.91x = 2,803.28 × 482.25
  4. Step 4: Simplify right side
    1,868.91x = 1,351,879.37
  5. Step 5: Solve for x
    x = 1,351,879.37/1,868.91
  6. Step 6: Final answer
    x = 723.35

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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.