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Finding the Fourth Proportional to 1,398.62, 1,930.11 and 769.17

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Solution

The fourth proportional to 1,398.62, 1,930.11 and 769.17 is: 1,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.62 : 1,930.11 = 769.17 : x
  2. Step 2: Convert to fraction form
    1,398.62/1,930.11 = 769.17/x
  3. Step 3: Cross multiply
    1,398.62x = 1,930.11 × 769.17
  4. Step 4: Simplify right side
    1,398.62x = 1,484,582.71
  5. Step 5: Solve for x
    x = 1,484,582.71/1,398.62
  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.