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Finding the Fourth Proportional to 1,218.04, 1,825.78 and 448.12

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Solution

The fourth proportional to 1,218.04, 1,825.78 and 448.12 is: 671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.04 : 1,825.78 = 448.12 : x
  2. Step 2: Convert to fraction form
    1,218.04/1,825.78 = 448.12/x
  3. Step 3: Cross multiply
    1,218.04x = 1,825.78 × 448.12
  4. Step 4: Simplify right side
    1,218.04x = 818,168.53
  5. Step 5: Solve for x
    x = 818,168.53/1,218.04
  6. Step 6: Final answer
    x = 671.71

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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.