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Finding the Fourth Proportional to 650.12, 971.66 and 598.22

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Solution

The fourth proportional to 650.12, 971.66 and 598.22 is: 894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.12 : 971.66 = 598.22 : x
  2. Step 2: Convert to fraction form
    650.12/971.66 = 598.22/x
  3. Step 3: Cross multiply
    650.12x = 971.66 × 598.22
  4. Step 4: Simplify right side
    650.12x = 581,258.60
  5. Step 5: Solve for x
    x = 581,258.60/650.12
  6. Step 6: Final answer
    x = 894.09

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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.