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Finding the Fourth Proportional to 1,354.44, 2,032.38 and 769.08

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Solution

The fourth proportional to 1,354.44, 2,032.38 and 769.08 is: 1,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.44 : 2,032.38 = 769.08 : x
  2. Step 2: Convert to fraction form
    1,354.44/2,032.38 = 769.08/x
  3. Step 3: Cross multiply
    1,354.44x = 2,032.38 × 769.08
  4. Step 4: Simplify right side
    1,354.44x = 1,563,062.81
  5. Step 5: Solve for x
    x = 1,563,062.81/1,354.44
  6. Step 6: Final answer
    x = 1,154.03

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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.