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Finding the Fourth Proportional to 650.61, 898.16 and 609.17

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Solution

The fourth proportional to 650.61, 898.16 and 609.17 is: 840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.61 : 898.16 = 609.17 : x
  2. Step 2: Convert to fraction form
    650.61/898.16 = 609.17/x
  3. Step 3: Cross multiply
    650.61x = 898.16 × 609.17
  4. Step 4: Simplify right side
    650.61x = 547,124.59
  5. Step 5: Solve for x
    x = 547,124.59/650.61
  6. Step 6: Final answer
    x = 840.94

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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.