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Finding the Fourth Proportional to 1,169.42, 1,754.18 and 389.49

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Solution

The fourth proportional to 1,169.42, 1,754.18 and 389.49 is: 584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.42 : 1,754.18 = 389.49 : x
  2. Step 2: Convert to fraction form
    1,169.42/1,754.18 = 389.49/x
  3. Step 3: Cross multiply
    1,169.42x = 1,754.18 × 389.49
  4. Step 4: Simplify right side
    1,169.42x = 683,233.62
  5. Step 5: Solve for x
    x = 683,233.62/1,169.42
  6. Step 6: Final answer
    x = 584.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.