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Finding the Fourth Proportional to 919.86, 1,269.44 and 500.24

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Solution

The fourth proportional to 919.86, 1,269.44 and 500.24 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.86 : 1,269.44 = 500.24 : x
  2. Step 2: Convert to fraction form
    919.86/1,269.44 = 500.24/x
  3. Step 3: Cross multiply
    919.86x = 1,269.44 × 500.24
  4. Step 4: Simplify right side
    919.86x = 635,025.34
  5. Step 5: Solve for x
    x = 635,025.34/919.86
  6. Step 6: Final answer
    x = 690.35

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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.