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Finding the Fourth Proportional to 960.51, 1,325.63 and 540.94

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Solution

The fourth proportional to 960.51, 1,325.63 and 540.94 is: 746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.51 : 1,325.63 = 540.94 : x
  2. Step 2: Convert to fraction form
    960.51/1,325.63 = 540.94/x
  3. Step 3: Cross multiply
    960.51x = 1,325.63 × 540.94
  4. Step 4: Simplify right side
    960.51x = 717,088.93
  5. Step 5: Solve for x
    x = 717,088.93/960.51
  6. Step 6: Final answer
    x = 746.57

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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.