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Finding the Fourth Proportional to 1,122.31, 1,684.01 and 795.35

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Solution

The fourth proportional to 1,122.31, 1,684.01 and 795.35 is: 1,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.31 : 1,684.01 = 795.35 : x
  2. Step 2: Convert to fraction form
    1,122.31/1,684.01 = 795.35/x
  3. Step 3: Cross multiply
    1,122.31x = 1,684.01 × 795.35
  4. Step 4: Simplify right side
    1,122.31x = 1,339,377.35
  5. Step 5: Solve for x
    x = 1,339,377.35/1,122.31
  6. Step 6: Final answer
    x = 1,193.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.