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Finding the Fourth Proportional to 1,096.04, 1,512.54 and 598.69

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Solution

The fourth proportional to 1,096.04, 1,512.54 and 598.69 is: 826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.04 : 1,512.54 = 598.69 : x
  2. Step 2: Convert to fraction form
    1,096.04/1,512.54 = 598.69/x
  3. Step 3: Cross multiply
    1,096.04x = 1,512.54 × 598.69
  4. Step 4: Simplify right side
    1,096.04x = 905,542.57
  5. Step 5: Solve for x
    x = 905,542.57/1,096.04
  6. Step 6: Final answer
    x = 826.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.