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Finding the Fourth Proportional to 711.36, 1,074.24 and 711.36

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Solution

The fourth proportional to 711.36, 1,074.24 and 711.36 is: 1,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 1,074.24 = 711.36 : x
  2. Step 2: Convert to fraction form
    711.36/1,074.24 = 711.36/x
  3. Step 3: Cross multiply
    711.36x = 1,074.24 × 711.36
  4. Step 4: Simplify right side
    711.36x = 764,171.37
  5. Step 5: Solve for x
    x = 764,171.37/711.36
  6. Step 6: Final answer
    x = 1,074.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.