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Finding the Fourth Proportional to 1,096.45, 1,512.57 and 698.02

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Solution

The fourth proportional to 1,096.45, 1,512.57 and 698.02 is: 962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.45 : 1,512.57 = 698.02 : x
  2. Step 2: Convert to fraction form
    1,096.45/1,512.57 = 698.02/x
  3. Step 3: Cross multiply
    1,096.45x = 1,512.57 × 698.02
  4. Step 4: Simplify right side
    1,096.45x = 1,055,804.11
  5. Step 5: Solve for x
    x = 1,055,804.11/1,096.45
  6. Step 6: Final answer
    x = 962.93

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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.