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Finding the Fourth Proportional to 1,328.84, 1,833.96 and 769.48

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Solution

The fourth proportional to 1,328.84, 1,833.96 and 769.48 is: 1,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.84 : 1,833.96 = 769.48 : x
  2. Step 2: Convert to fraction form
    1,328.84/1,833.96 = 769.48/x
  3. Step 3: Cross multiply
    1,328.84x = 1,833.96 × 769.48
  4. Step 4: Simplify right side
    1,328.84x = 1,411,195.54
  5. Step 5: Solve for x
    x = 1,411,195.54/1,328.84
  6. Step 6: Final answer
    x = 1,061.98

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1.5x scale

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.