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Finding the Fourth Proportional to 1,468.42, 2,202.66 and 442.42

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Solution

The fourth proportional to 1,468.42, 2,202.66 and 442.42 is: 663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.42 : 2,202.66 = 442.42 : x
  2. Step 2: Convert to fraction form
    1,468.42/2,202.66 = 442.42/x
  3. Step 3: Cross multiply
    1,468.42x = 2,202.66 × 442.42
  4. Step 4: Simplify right side
    1,468.42x = 974,500.84
  5. Step 5: Solve for x
    x = 974,500.84/1,468.42
  6. Step 6: Final answer
    x = 663.64

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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.