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Finding the Fourth Proportional to 1,398.62, 1,930.14 and 769.16

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Solution

The fourth proportional to 1,398.62, 1,930.14 and 769.16 is: 1,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.62 : 1,930.14 = 769.16 : x
  2. Step 2: Convert to fraction form
    1,398.62/1,930.14 = 769.16/x
  3. Step 3: Cross multiply
    1,398.62x = 1,930.14 × 769.16
  4. Step 4: Simplify right side
    1,398.62x = 1,484,586.48
  5. Step 5: Solve for x
    x = 1,484,586.48/1,398.62
  6. Step 6: Final answer
    x = 1,061.47

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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.