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Finding the Fourth Proportional to 1,488, 2,232 and 576

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Solution

The fourth proportional to 1,488, 2,232 and 576 is: 864

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488 : 2,232 = 576 : x
  2. Step 2: Convert to fraction form
    1,488/2,232 = 576/x
  3. Step 3: Cross multiply
    1,488x = 2,232 × 576
  4. Step 4: Simplify right side
    1,488x = 1,285,632
  5. Step 5: Solve for x
    x = 1,285,632/1,488
  6. Step 6: Final answer
    x = 864

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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.