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Finding the Fourth Proportional to 1,491.79, 2,237.71 and 396.18

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Solution

The fourth proportional to 1,491.79, 2,237.71 and 396.18 is: 594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.79 : 2,237.71 = 396.18 : x
  2. Step 2: Convert to fraction form
    1,491.79/2,237.71 = 396.18/x
  3. Step 3: Cross multiply
    1,491.79x = 2,237.71 × 396.18
  4. Step 4: Simplify right side
    1,491.79x = 886,535.95
  5. Step 5: Solve for x
    x = 886,535.95/1,491.79
  6. Step 6: Final answer
    x = 594.28

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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.