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Finding the Fourth Proportional to 1,468.82, 2,202.95 and 428.58

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Solution

The fourth proportional to 1,468.82, 2,202.95 and 428.58 is: 642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.82 : 2,202.95 = 428.58 : x
  2. Step 2: Convert to fraction form
    1,468.82/2,202.95 = 428.58/x
  3. Step 3: Cross multiply
    1,468.82x = 2,202.95 × 428.58
  4. Step 4: Simplify right side
    1,468.82x = 944,138.17
  5. Step 5: Solve for x
    x = 944,138.17/1,468.82
  6. Step 6: Final answer
    x = 642.79

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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.