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Finding the Fourth Proportional to 598.13, 892.98 and 511.49

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Solution

The fourth proportional to 598.13, 892.98 and 511.49 is: 763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.13 : 892.98 = 511.49 : x
  2. Step 2: Convert to fraction form
    598.13/892.98 = 511.49/x
  3. Step 3: Cross multiply
    598.13x = 892.98 × 511.49
  4. Step 4: Simplify right side
    598.13x = 456,749.06
  5. Step 5: Solve for x
    x = 456,749.06/598.13
  6. Step 6: Final answer
    x = 763.63

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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.