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Finding the Fourth Proportional to 761.78, 1,142.74 and 214.02

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Solution

The fourth proportional to 761.78, 1,142.74 and 214.02 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.78 : 1,142.74 = 214.02 : x
  2. Step 2: Convert to fraction form
    761.78/1,142.74 = 214.02/x
  3. Step 3: Cross multiply
    761.78x = 1,142.74 × 214.02
  4. Step 4: Simplify right side
    761.78x = 244,569.21
  5. Step 5: Solve for x
    x = 244,569.21/761.78
  6. Step 6: Final answer
    x = 321.05

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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.