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Finding the Fourth Proportional to 1,096.29, 1,512.90 and 598.95

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Solution

The fourth proportional to 1,096.29, 1,512.90 and 598.95 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.29 : 1,512.90 = 598.95 : x
  2. Step 2: Convert to fraction form
    1,096.29/1,512.90 = 598.95/x
  3. Step 3: Cross multiply
    1,096.29x = 1,512.90 × 598.95
  4. Step 4: Simplify right side
    1,096.29x = 906,151.46
  5. Step 5: Solve for x
    x = 906,151.46/1,096.29
  6. Step 6: Final answer
    x = 826.56

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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.