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Finding the Fourth Proportional to 650.65, 898.10 and 617.59

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Solution

The fourth proportional to 650.65, 898.10 and 617.59 is: 852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.65 : 898.10 = 617.59 : x
  2. Step 2: Convert to fraction form
    650.65/898.10 = 617.59/x
  3. Step 3: Cross multiply
    650.65x = 898.10 × 617.59
  4. Step 4: Simplify right side
    650.65x = 554,650.00
  5. Step 5: Solve for x
    x = 554,650.00/650.65
  6. Step 6: Final answer
    x = 852.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.