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Finding the Fourth Proportional to 809.74, 1,214.54 and 347.57

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Solution

The fourth proportional to 809.74, 1,214.54 and 347.57 is: 521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.74 : 1,214.54 = 347.57 : x
  2. Step 2: Convert to fraction form
    809.74/1,214.54 = 347.57/x
  3. Step 3: Cross multiply
    809.74x = 1,214.54 × 347.57
  4. Step 4: Simplify right side
    809.74x = 422,137.67
  5. Step 5: Solve for x
    x = 422,137.67/809.74
  6. Step 6: Final answer
    x = 521.32

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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.