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Finding the Fourth Proportional to 1,217.14, 1,825.47 and 437.12

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Solution

The fourth proportional to 1,217.14, 1,825.47 and 437.12 is: 655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.14 : 1,825.47 = 437.12 : x
  2. Step 2: Convert to fraction form
    1,217.14/1,825.47 = 437.12/x
  3. Step 3: Cross multiply
    1,217.14x = 1,825.47 × 437.12
  4. Step 4: Simplify right side
    1,217.14x = 797,949.45
  5. Step 5: Solve for x
    x = 797,949.45/1,217.14
  6. Step 6: Final answer
    x = 655.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.