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Finding the Fourth Proportional to 772.38, 1,162.71 and 693

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Solution

The fourth proportional to 772.38, 1,162.71 and 693 is: 1,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.38 : 1,162.71 = 693 : x
  2. Step 2: Convert to fraction form
    772.38/1,162.71 = 693/x
  3. Step 3: Cross multiply
    772.38x = 1,162.71 × 693
  4. Step 4: Simplify right side
    772.38x = 805,758.03
  5. Step 5: Solve for x
    x = 805,758.03/772.38
  6. Step 6: Final answer
    x = 1,043.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.