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Finding the Fourth Proportional to 1,217.79, 1,825.60 and 448.11

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Solution

The fourth proportional to 1,217.79, 1,825.60 and 448.11 is: 671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.79 : 1,825.60 = 448.11 : x
  2. Step 2: Convert to fraction form
    1,217.79/1,825.60 = 448.11/x
  3. Step 3: Cross multiply
    1,217.79x = 1,825.60 × 448.11
  4. Step 4: Simplify right side
    1,217.79x = 818,069.62
  5. Step 5: Solve for x
    x = 818,069.62/1,217.79
  6. Step 6: Final answer
    x = 671.77

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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.