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Finding the Fourth Proportional to 1,267.66, 1,900.24 and 487.16

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Solution

The fourth proportional to 1,267.66, 1,900.24 and 487.16 is: 730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.66 : 1,900.24 = 487.16 : x
  2. Step 2: Convert to fraction form
    1,267.66/1,900.24 = 487.16/x
  3. Step 3: Cross multiply
    1,267.66x = 1,900.24 × 487.16
  4. Step 4: Simplify right side
    1,267.66x = 925,720.92
  5. Step 5: Solve for x
    x = 925,720.92/1,267.66
  6. Step 6: Final answer
    x = 730.26

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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.