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Finding the Fourth Proportional to 761.11, 1,141.36 and 322.56

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Solution

The fourth proportional to 761.11, 1,141.36 and 322.56 is: 483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.11 : 1,141.36 = 322.56 : x
  2. Step 2: Convert to fraction form
    761.11/1,141.36 = 322.56/x
  3. Step 3: Cross multiply
    761.11x = 1,141.36 × 322.56
  4. Step 4: Simplify right side
    761.11x = 368,157.08
  5. Step 5: Solve for x
    x = 368,157.08/761.11
  6. Step 6: Final answer
    x = 483.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.