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Finding the Fourth Proportional to 811.59, 1,119.74 and 501.27

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Solution

The fourth proportional to 811.59, 1,119.74 and 501.27 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.59 : 1,119.74 = 501.27 : x
  2. Step 2: Convert to fraction form
    811.59/1,119.74 = 501.27/x
  3. Step 3: Cross multiply
    811.59x = 1,119.74 × 501.27
  4. Step 4: Simplify right side
    811.59x = 561,289.56
  5. Step 5: Solve for x
    x = 561,289.56/811.59
  6. Step 6: Final answer
    x = 691.59

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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.