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Finding the Fourth Proportional to 808.47, 1,115.70 and 493.74

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Solution

The fourth proportional to 808.47, 1,115.70 and 493.74 is: 681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.47 : 1,115.70 = 493.74 : x
  2. Step 2: Convert to fraction form
    808.47/1,115.70 = 493.74/x
  3. Step 3: Cross multiply
    808.47x = 1,115.70 × 493.74
  4. Step 4: Simplify right side
    808.47x = 550,865.72
  5. Step 5: Solve for x
    x = 550,865.72/808.47
  6. Step 6: Final answer
    x = 681.37

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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.