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Finding the Fourth Proportional to 1,576.75, 2,175.93 and 878.14

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Solution

The fourth proportional to 1,576.75, 2,175.93 and 878.14 is: 1,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.75 : 2,175.93 = 878.14 : x
  2. Step 2: Convert to fraction form
    1,576.75/2,175.93 = 878.14/x
  3. Step 3: Cross multiply
    1,576.75x = 2,175.93 × 878.14
  4. Step 4: Simplify right side
    1,576.75x = 1,910,771.17
  5. Step 5: Solve for x
    x = 1,910,771.17/1,576.75
  6. Step 6: Final answer
    x = 1,211.84

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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.