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Finding the Fourth Proportional to 913.93, 1,368.45 and 548.21

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Solution

The fourth proportional to 913.93, 1,368.45 and 548.21 is: 820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.93 : 1,368.45 = 548.21 : x
  2. Step 2: Convert to fraction form
    913.93/1,368.45 = 548.21/x
  3. Step 3: Cross multiply
    913.93x = 1,368.45 × 548.21
  4. Step 4: Simplify right side
    913.93x = 750,197.97
  5. Step 5: Solve for x
    x = 750,197.97/913.93
  6. Step 6: Final answer
    x = 820.85

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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.