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Finding the Fourth Proportional to 960.51, 1,325.34 and 567.66

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Solution

The fourth proportional to 960.51, 1,325.34 and 567.66 is: 783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.51 : 1,325.34 = 567.66 : x
  2. Step 2: Convert to fraction form
    960.51/1,325.34 = 567.66/x
  3. Step 3: Cross multiply
    960.51x = 1,325.34 × 567.66
  4. Step 4: Simplify right side
    960.51x = 752,342.50
  5. Step 5: Solve for x
    x = 752,342.50/960.51
  6. Step 6: Final answer
    x = 783.27

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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.