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Finding the Fourth Proportional to 1,389.94, 1,918.17 and 768.94

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Solution

The fourth proportional to 1,389.94, 1,918.17 and 768.94 is: 1,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.94 : 1,918.17 = 768.94 : x
  2. Step 2: Convert to fraction form
    1,389.94/1,918.17 = 768.94/x
  3. Step 3: Cross multiply
    1,389.94x = 1,918.17 × 768.94
  4. Step 4: Simplify right side
    1,389.94x = 1,474,955.73
  5. Step 5: Solve for x
    x = 1,474,955.73/1,389.94
  6. Step 6: Final answer
    x = 1,061.17

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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.