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Finding the Fourth Proportional to 919.42, 1,378.14 and 456.52

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Solution

The fourth proportional to 919.42, 1,378.14 and 456.52 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.42 : 1,378.14 = 456.52 : x
  2. Step 2: Convert to fraction form
    919.42/1,378.14 = 456.52/x
  3. Step 3: Cross multiply
    919.42x = 1,378.14 × 456.52
  4. Step 4: Simplify right side
    919.42x = 629,148.47
  5. Step 5: Solve for x
    x = 629,148.47/919.42
  6. Step 6: Final answer
    x = 684.29

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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.