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Finding the Fourth Proportional to 919.85, 1,379.57 and 457.27

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Solution

The fourth proportional to 919.85, 1,379.57 and 457.27 is: 685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.85 : 1,379.57 = 457.27 : x
  2. Step 2: Convert to fraction form
    919.85/1,379.57 = 457.27/x
  3. Step 3: Cross multiply
    919.85x = 1,379.57 × 457.27
  4. Step 4: Simplify right side
    919.85x = 630,830.24
  5. Step 5: Solve for x
    x = 630,830.24/919.85
  6. Step 6: Final answer
    x = 685.80

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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.