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Finding the Fourth Proportional to 813.70, 1,219.58 and 467.27

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Solution

The fourth proportional to 813.70, 1,219.58 and 467.27 is: 700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.70 : 1,219.58 = 467.27 : x
  2. Step 2: Convert to fraction form
    813.70/1,219.58 = 467.27/x
  3. Step 3: Cross multiply
    813.70x = 1,219.58 × 467.27
  4. Step 4: Simplify right side
    813.70x = 569,873.86
  5. Step 5: Solve for x
    x = 569,873.86/813.70
  6. Step 6: Final answer
    x = 700.35

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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.