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Finding the Fourth Proportional to 1,328.50, 1,833.22 and 769.01

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Solution

The fourth proportional to 1,328.50, 1,833.22 and 769.01 is: 1,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.50 : 1,833.22 = 769.01 : x
  2. Step 2: Convert to fraction form
    1,328.50/1,833.22 = 769.01/x
  3. Step 3: Cross multiply
    1,328.50x = 1,833.22 × 769.01
  4. Step 4: Simplify right side
    1,328.50x = 1,409,753.90
  5. Step 5: Solve for x
    x = 1,409,753.90/1,328.50
  6. Step 6: Final answer
    x = 1,061.16

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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.