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Finding the Fourth Proportional to 1,078.10, 1,617.75 and 428.88

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Solution

The fourth proportional to 1,078.10, 1,617.75 and 428.88 is: 643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.10 : 1,617.75 = 428.88 : x
  2. Step 2: Convert to fraction form
    1,078.10/1,617.75 = 428.88/x
  3. Step 3: Cross multiply
    1,078.10x = 1,617.75 × 428.88
  4. Step 4: Simplify right side
    1,078.10x = 693,820.62
  5. Step 5: Solve for x
    x = 693,820.62/1,078.10
  6. Step 6: Final answer
    x = 643.56

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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.