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Finding the Fourth Proportional to 645.06, 967.59 and 617.52

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Solution

The fourth proportional to 645.06, 967.59 and 617.52 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.06 : 967.59 = 617.52 : x
  2. Step 2: Convert to fraction form
    645.06/967.59 = 617.52/x
  3. Step 3: Cross multiply
    645.06x = 967.59 × 617.52
  4. Step 4: Simplify right side
    645.06x = 597,506.18
  5. Step 5: Solve for x
    x = 597,506.18/645.06
  6. Step 6: Final answer
    x = 926.28

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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.