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Finding the Fourth Proportional to 1,468.64, 2,202.62 and 428.64

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Solution

The fourth proportional to 1,468.64, 2,202.62 and 428.64 is: 642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.64 : 2,202.62 = 428.64 : x
  2. Step 2: Convert to fraction form
    1,468.64/2,202.62 = 428.64/x
  3. Step 3: Cross multiply
    1,468.64x = 2,202.62 × 428.64
  4. Step 4: Simplify right side
    1,468.64x = 944,131.04
  5. Step 5: Solve for x
    x = 944,131.04/1,468.64
  6. Step 6: Final answer
    x = 642.86

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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.