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Finding the Fourth Proportional to 1,381.02, 1,905.86 and 821.79

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Solution

The fourth proportional to 1,381.02, 1,905.86 and 821.79 is: 1,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.02 : 1,905.86 = 821.79 : x
  2. Step 2: Convert to fraction form
    1,381.02/1,905.86 = 821.79/x
  3. Step 3: Cross multiply
    1,381.02x = 1,905.86 × 821.79
  4. Step 4: Simplify right side
    1,381.02x = 1,566,212.58
  5. Step 5: Solve for x
    x = 1,566,212.58/1,381.02
  6. Step 6: Final answer
    x = 1,134.10

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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.