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Finding the Fourth Proportional to 761.84, 1,142.82 and 377

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Solution

The fourth proportional to 761.84, 1,142.82 and 377 is: 565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.84 : 1,142.82 = 377 : x
  2. Step 2: Convert to fraction form
    761.84/1,142.82 = 377/x
  3. Step 3: Cross multiply
    761.84x = 1,142.82 × 377
  4. Step 4: Simplify right side
    761.84x = 430,843.14
  5. Step 5: Solve for x
    x = 430,843.14/761.84
  6. Step 6: Final answer
    x = 565.53

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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.