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Finding the Fourth Proportional to 1,398.31, 1,929.26 and 867.58

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Solution

The fourth proportional to 1,398.31, 1,929.26 and 867.58 is: 1,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.31 : 1,929.26 = 867.58 : x
  2. Step 2: Convert to fraction form
    1,398.31/1,929.26 = 867.58/x
  3. Step 3: Cross multiply
    1,398.31x = 1,929.26 × 867.58
  4. Step 4: Simplify right side
    1,398.31x = 1,673,787.39
  5. Step 5: Solve for x
    x = 1,673,787.39/1,398.31
  6. Step 6: Final answer
    x = 1,197.01

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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.