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Finding the Fourth Proportional to 1,375.75, 1,898.49 and 786.16

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Solution

The fourth proportional to 1,375.75, 1,898.49 and 786.16 is: 1,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.75 : 1,898.49 = 786.16 : x
  2. Step 2: Convert to fraction form
    1,375.75/1,898.49 = 786.16/x
  3. Step 3: Cross multiply
    1,375.75x = 1,898.49 × 786.16
  4. Step 4: Simplify right side
    1,375.75x = 1,492,516.90
  5. Step 5: Solve for x
    x = 1,492,516.90/1,375.75
  6. Step 6: Final answer
    x = 1,084.88

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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.