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Finding the Fourth Proportional to 772, 1,153.07 and 698.76

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Solution

The fourth proportional to 772, 1,153.07 and 698.76 is: 1,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,153.07 = 698.76 : x
  2. Step 2: Convert to fraction form
    772/1,153.07 = 698.76/x
  3. Step 3: Cross multiply
    772x = 1,153.07 × 698.76
  4. Step 4: Simplify right side
    772x = 805,719.19
  5. Step 5: Solve for x
    x = 805,719.19/772
  6. Step 6: Final answer
    x = 1,043.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.