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Finding the Fourth Proportional to 1,232.02, 1,700.42 and 701.14

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Solution

The fourth proportional to 1,232.02, 1,700.42 and 701.14 is: 967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.02 : 1,700.42 = 701.14 : x
  2. Step 2: Convert to fraction form
    1,232.02/1,700.42 = 701.14/x
  3. Step 3: Cross multiply
    1,232.02x = 1,700.42 × 701.14
  4. Step 4: Simplify right side
    1,232.02x = 1,192,232.48
  5. Step 5: Solve for x
    x = 1,192,232.48/1,232.02
  6. Step 6: Final answer
    x = 967.71

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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.