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Finding the Fourth Proportional to 913.26, 1,259.76 and 540.12

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Solution

The fourth proportional to 913.26, 1,259.76 and 540.12 is: 745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,259.76 = 540.12 : x
  2. Step 2: Convert to fraction form
    913.26/1,259.76 = 540.12/x
  3. Step 3: Cross multiply
    913.26x = 1,259.76 × 540.12
  4. Step 4: Simplify right side
    913.26x = 680,421.57
  5. Step 5: Solve for x
    x = 680,421.57/913.26
  6. Step 6: Final answer
    x = 745.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.