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Finding the Fourth Proportional to 645.06, 961.24 and 606.10

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Solution

The fourth proportional to 645.06, 961.24 and 606.10 is: 903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.06 : 961.24 = 606.10 : x
  2. Step 2: Convert to fraction form
    645.06/961.24 = 606.10/x
  3. Step 3: Cross multiply
    645.06x = 961.24 × 606.10
  4. Step 4: Simplify right side
    645.06x = 582,603.65
  5. Step 5: Solve for x
    x = 582,603.65/645.06
  6. Step 6: Final answer
    x = 903.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.