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Finding the Fourth Proportional to 744.11, 1,027.96 and 587.78

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Solution

The fourth proportional to 744.11, 1,027.96 and 587.78 is: 812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.11 : 1,027.96 = 587.78 : x
  2. Step 2: Convert to fraction form
    744.11/1,027.96 = 587.78/x
  3. Step 3: Cross multiply
    744.11x = 1,027.96 × 587.78
  4. Step 4: Simplify right side
    744.11x = 604,214.33
  5. Step 5: Solve for x
    x = 604,214.33/744.11
  6. Step 6: Final answer
    x = 812.00

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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.