Home / 1,006.23-1,388.21-769.93

Finding the Fourth Proportional to 1,006.23, 1,388.21 and 769.93

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Solution

The fourth proportional to 1,006.23, 1,388.21 and 769.93 is: 1,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.23 : 1,388.21 = 769.93 : x
  2. Step 2: Convert to fraction form
    1,006.23/1,388.21 = 769.93/x
  3. Step 3: Cross multiply
    1,006.23x = 1,388.21 × 769.93
  4. Step 4: Simplify right side
    1,006.23x = 1,068,824.53
  5. Step 5: Solve for x
    x = 1,068,824.53/1,006.23
  6. Step 6: Final answer
    x = 1,062.21

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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.