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Finding the Fourth Proportional to 808.84, 1,207.37 and 748.66

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Solution

The fourth proportional to 808.84, 1,207.37 and 748.66 is: 1,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.84 : 1,207.37 = 748.66 : x
  2. Step 2: Convert to fraction form
    808.84/1,207.37 = 748.66/x
  3. Step 3: Cross multiply
    808.84x = 1,207.37 × 748.66
  4. Step 4: Simplify right side
    808.84x = 903,909.62
  5. Step 5: Solve for x
    x = 903,909.62/808.84
  6. Step 6: Final answer
    x = 1,117.54

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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.