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Finding the Fourth Proportional to 1,170.42, 1,611.69 and 838.27

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Solution

The fourth proportional to 1,170.42, 1,611.69 and 838.27 is: 1,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.42 : 1,611.69 = 838.27 : x
  2. Step 2: Convert to fraction form
    1,170.42/1,611.69 = 838.27/x
  3. Step 3: Cross multiply
    1,170.42x = 1,611.69 × 838.27
  4. Step 4: Simplify right side
    1,170.42x = 1,351,031.38
  5. Step 5: Solve for x
    x = 1,351,031.38/1,170.42
  6. Step 6: Final answer
    x = 1,154.31

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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.