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Finding the Fourth Proportional to 650.40, 898.56 and 598.56

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Solution

The fourth proportional to 650.40, 898.56 and 598.56 is: 826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 898.56 = 598.56 : x
  2. Step 2: Convert to fraction form
    650.40/898.56 = 598.56/x
  3. Step 3: Cross multiply
    650.40x = 898.56 × 598.56
  4. Step 4: Simplify right side
    650.40x = 537,842.07
  5. Step 5: Solve for x
    x = 537,842.07/650.40
  6. Step 6: Final answer
    x = 826.94

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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.