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Finding the Fourth Proportional to 761.23, 1,141.76 and 274.28

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Solution

The fourth proportional to 761.23, 1,141.76 and 274.28 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.23 : 1,141.76 = 274.28 : x
  2. Step 2: Convert to fraction form
    761.23/1,141.76 = 274.28/x
  3. Step 3: Cross multiply
    761.23x = 1,141.76 × 274.28
  4. Step 4: Simplify right side
    761.23x = 313,165.47
  5. Step 5: Solve for x
    x = 313,165.47/761.23
  6. Step 6: Final answer
    x = 411.40

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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.