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Finding the Fourth Proportional to 761.71, 1,050.97 and 462.95

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Solution

The fourth proportional to 761.71, 1,050.97 and 462.95 is: 638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.71 : 1,050.97 = 462.95 : x
  2. Step 2: Convert to fraction form
    761.71/1,050.97 = 462.95/x
  3. Step 3: Cross multiply
    761.71x = 1,050.97 × 462.95
  4. Step 4: Simplify right side
    761.71x = 486,544.72
  5. Step 5: Solve for x
    x = 486,544.72/761.71
  6. Step 6: Final answer
    x = 638.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.