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Finding the Fourth Proportional to 885.68, 1,327.30 and 577.07

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Solution

The fourth proportional to 885.68, 1,327.30 and 577.07 is: 864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.68 : 1,327.30 = 577.07 : x
  2. Step 2: Convert to fraction form
    885.68/1,327.30 = 577.07/x
  3. Step 3: Cross multiply
    885.68x = 1,327.30 × 577.07
  4. Step 4: Simplify right side
    885.68x = 765,936.93
  5. Step 5: Solve for x
    x = 765,936.93/885.68
  6. Step 6: Final answer
    x = 864.81

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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.