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Finding the Fourth Proportional to 1,197.68, 1,653.16 and 700.42

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Solution

The fourth proportional to 1,197.68, 1,653.16 and 700.42 is: 966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.68 : 1,653.16 = 700.42 : x
  2. Step 2: Convert to fraction form
    1,197.68/1,653.16 = 700.42/x
  3. Step 3: Cross multiply
    1,197.68x = 1,653.16 × 700.42
  4. Step 4: Simplify right side
    1,197.68x = 1,157,906.33
  5. Step 5: Solve for x
    x = 1,157,906.33/1,197.68
  6. Step 6: Final answer
    x = 966.79

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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.