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Finding the Fourth Proportional to 1,218.04, 1,825.89 and 448.36

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Solution

The fourth proportional to 1,218.04, 1,825.89 and 448.36 is: 672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.04 : 1,825.89 = 448.36 : x
  2. Step 2: Convert to fraction form
    1,218.04/1,825.89 = 448.36/x
  3. Step 3: Cross multiply
    1,218.04x = 1,825.89 × 448.36
  4. Step 4: Simplify right side
    1,218.04x = 818,656.04
  5. Step 5: Solve for x
    x = 818,656.04/1,218.04
  6. Step 6: Final answer
    x = 672.11

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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.