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Finding the Fourth Proportional to 1,013.23, 1,389.14 and 994.78

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Solution

The fourth proportional to 1,013.23, 1,389.14 and 994.78 is: 1,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.23 : 1,389.14 = 994.78 : x
  2. Step 2: Convert to fraction form
    1,013.23/1,389.14 = 994.78/x
  3. Step 3: Cross multiply
    1,013.23x = 1,389.14 × 994.78
  4. Step 4: Simplify right side
    1,013.23x = 1,381,880.24
  5. Step 5: Solve for x
    x = 1,381,880.24/1,013.23
  6. Step 6: Final answer
    x = 1,363.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.