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Finding the Fourth Proportional to 813.65, 1,215.53 and 518.80

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Solution

The fourth proportional to 813.65, 1,215.53 and 518.80 is: 775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.65 : 1,215.53 = 518.80 : x
  2. Step 2: Convert to fraction form
    813.65/1,215.53 = 518.80/x
  3. Step 3: Cross multiply
    813.65x = 1,215.53 × 518.80
  4. Step 4: Simplify right side
    813.65x = 630,620.00
  5. Step 5: Solve for x
    x = 630,620.00/813.65
  6. Step 6: Final answer
    x = 775.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.