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Finding the Fourth Proportional to 808.46, 1,212.68 and 521.72

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Solution

The fourth proportional to 808.46, 1,212.68 and 521.72 is: 782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.46 : 1,212.68 = 521.72 : x
  2. Step 2: Convert to fraction form
    808.46/1,212.68 = 521.72/x
  3. Step 3: Cross multiply
    808.46x = 1,212.68 × 521.72
  4. Step 4: Simplify right side
    808.46x = 632,674.65
  5. Step 5: Solve for x
    x = 632,674.65/808.46
  6. Step 6: Final answer
    x = 782.57

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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.