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Finding the Fourth Proportional to 761.12, 1,141.57 and 213.36

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Solution

The fourth proportional to 761.12, 1,141.57 and 213.36 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.12 : 1,141.57 = 213.36 : x
  2. Step 2: Convert to fraction form
    761.12/1,141.57 = 213.36/x
  3. Step 3: Cross multiply
    761.12x = 1,141.57 × 213.36
  4. Step 4: Simplify right side
    761.12x = 243,565.38
  5. Step 5: Solve for x
    x = 243,565.38/761.12
  6. Step 6: Final answer
    x = 320.01

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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.