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Finding the Fourth Proportional to 761.90, 1,142.84 and 214.08

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Solution

The fourth proportional to 761.90, 1,142.84 and 214.08 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.90 : 1,142.84 = 214.08 : x
  2. Step 2: Convert to fraction form
    761.90/1,142.84 = 214.08/x
  3. Step 3: Cross multiply
    761.90x = 1,142.84 × 214.08
  4. Step 4: Simplify right side
    761.90x = 244,658.12
  5. Step 5: Solve for x
    x = 244,658.12/761.90
  6. Step 6: Final answer
    x = 321.12

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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.