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Finding the Fourth Proportional to 913.23, 1,368.27 and 638.82

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Solution

The fourth proportional to 913.23, 1,368.27 and 638.82 is: 957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.23 : 1,368.27 = 638.82 : x
  2. Step 2: Convert to fraction form
    913.23/1,368.27 = 638.82/x
  3. Step 3: Cross multiply
    913.23x = 1,368.27 × 638.82
  4. Step 4: Simplify right side
    913.23x = 874,078.24
  5. Step 5: Solve for x
    x = 874,078.24/913.23
  6. Step 6: Final answer
    x = 957.13

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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.