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Finding the Fourth Proportional to 1,096.02, 1,512.49 and 598.66

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Solution

The fourth proportional to 1,096.02, 1,512.49 and 598.66 is: 826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.02 : 1,512.49 = 598.66 : x
  2. Step 2: Convert to fraction form
    1,096.02/1,512.49 = 598.66/x
  3. Step 3: Cross multiply
    1,096.02x = 1,512.49 × 598.66
  4. Step 4: Simplify right side
    1,096.02x = 905,467.26
  5. Step 5: Solve for x
    x = 905,467.26/1,096.02
  6. Step 6: Final answer
    x = 826.14

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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.