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Finding the Fourth Proportional to 1,442.93, 1,991.22 and 821.93

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Solution

The fourth proportional to 1,442.93, 1,991.22 and 821.93 is: 1,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.93 : 1,991.22 = 821.93 : x
  2. Step 2: Convert to fraction form
    1,442.93/1,991.22 = 821.93/x
  3. Step 3: Cross multiply
    1,442.93x = 1,991.22 × 821.93
  4. Step 4: Simplify right side
    1,442.93x = 1,636,633.50
  5. Step 5: Solve for x
    x = 1,636,633.50/1,442.93
  6. Step 6: Final answer
    x = 1,134.25

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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.