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Finding the Fourth Proportional to 761.34, 1,142.07 and 376.50

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Solution

The fourth proportional to 761.34, 1,142.07 and 376.50 is: 564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.34 : 1,142.07 = 376.50 : x
  2. Step 2: Convert to fraction form
    761.34/1,142.07 = 376.50/x
  3. Step 3: Cross multiply
    761.34x = 1,142.07 × 376.50
  4. Step 4: Simplify right side
    761.34x = 429,989.36
  5. Step 5: Solve for x
    x = 429,989.36/761.34
  6. Step 6: Final answer
    x = 564.78

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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.