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Finding the Fourth Proportional to 1,247.87, 1,872.95 and 632.01

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Solution

The fourth proportional to 1,247.87, 1,872.95 and 632.01 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.87 : 1,872.95 = 632.01 : x
  2. Step 2: Convert to fraction form
    1,247.87/1,872.95 = 632.01/x
  3. Step 3: Cross multiply
    1,247.87x = 1,872.95 × 632.01
  4. Step 4: Simplify right side
    1,247.87x = 1,183,720.01
  5. Step 5: Solve for x
    x = 1,183,720.01/1,247.87
  6. Step 6: Final answer
    x = 948.59

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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.