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Finding the Fourth Proportional to 886.48, 1,327.93 and 538.79

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Solution

The fourth proportional to 886.48, 1,327.93 and 538.79 is: 807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,327.93 = 538.79 : x
  2. Step 2: Convert to fraction form
    886.48/1,327.93 = 538.79/x
  3. Step 3: Cross multiply
    886.48x = 1,327.93 × 538.79
  4. Step 4: Simplify right side
    886.48x = 715,467.42
  5. Step 5: Solve for x
    x = 715,467.42/886.48
  6. Step 6: Final answer
    x = 807.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.