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Finding the Fourth Proportional to 890.91, 1,342.19 and 699.39

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Solution

The fourth proportional to 890.91, 1,342.19 and 699.39 is: 1,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.91 : 1,342.19 = 699.39 : x
  2. Step 2: Convert to fraction form
    890.91/1,342.19 = 699.39/x
  3. Step 3: Cross multiply
    890.91x = 1,342.19 × 699.39
  4. Step 4: Simplify right side
    890.91x = 938,716.01
  5. Step 5: Solve for x
    x = 938,716.01/890.91
  6. Step 6: Final answer
    x = 1,053.66

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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.