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Finding the Fourth Proportional to 761.88, 1,142.10 and 376.68

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Solution

The fourth proportional to 761.88, 1,142.10 and 376.68 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.88 : 1,142.10 = 376.68 : x
  2. Step 2: Convert to fraction form
    761.88/1,142.10 = 376.68/x
  3. Step 3: Cross multiply
    761.88x = 1,142.10 × 376.68
  4. Step 4: Simplify right side
    761.88x = 430,206.23
  5. Step 5: Solve for x
    x = 430,206.23/761.88
  6. Step 6: Final answer
    x = 564.66

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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.