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Finding the Fourth Proportional to 761.33, 1,143.53 and 453.79

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Solution

The fourth proportional to 761.33, 1,143.53 and 453.79 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.33 : 1,143.53 = 453.79 : x
  2. Step 2: Convert to fraction form
    761.33/1,143.53 = 453.79/x
  3. Step 3: Cross multiply
    761.33x = 1,143.53 × 453.79
  4. Step 4: Simplify right side
    761.33x = 518,919.46
  5. Step 5: Solve for x
    x = 518,919.46/761.33
  6. Step 6: Final answer
    x = 681.59

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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.