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Finding the Fourth Proportional to 913.76, 1,369.36 and 451.07

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Solution

The fourth proportional to 913.76, 1,369.36 and 451.07 is: 675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.76 : 1,369.36 = 451.07 : x
  2. Step 2: Convert to fraction form
    913.76/1,369.36 = 451.07/x
  3. Step 3: Cross multiply
    913.76x = 1,369.36 × 451.07
  4. Step 4: Simplify right side
    913.76x = 617,677.22
  5. Step 5: Solve for x
    x = 617,677.22/913.76
  6. Step 6: Final answer
    x = 675.97

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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.