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Finding the Fourth Proportional to 1,121.42, 1,548.10 and 701.98

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Solution

The fourth proportional to 1,121.42, 1,548.10 and 701.98 is: 969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.42 : 1,548.10 = 701.98 : x
  2. Step 2: Convert to fraction form
    1,121.42/1,548.10 = 701.98/x
  3. Step 3: Cross multiply
    1,121.42x = 1,548.10 × 701.98
  4. Step 4: Simplify right side
    1,121.42x = 1,086,735.24
  5. Step 5: Solve for x
    x = 1,086,735.24/1,121.42
  6. Step 6: Final answer
    x = 969.07

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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.