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Finding the Fourth Proportional to 913.54, 1,370.66 and 548.59

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Solution

The fourth proportional to 913.54, 1,370.66 and 548.59 is: 823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.54 : 1,370.66 = 548.59 : x
  2. Step 2: Convert to fraction form
    913.54/1,370.66 = 548.59/x
  3. Step 3: Cross multiply
    913.54x = 1,370.66 × 548.59
  4. Step 4: Simplify right side
    913.54x = 751,929.34
  5. Step 5: Solve for x
    x = 751,929.34/913.54
  6. Step 6: Final answer
    x = 823.09

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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.