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Finding the Fourth Proportional to 963.06, 1,328.97 and 537.66

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Solution

The fourth proportional to 963.06, 1,328.97 and 537.66 is: 741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.06 : 1,328.97 = 537.66 : x
  2. Step 2: Convert to fraction form
    963.06/1,328.97 = 537.66/x
  3. Step 3: Cross multiply
    963.06x = 1,328.97 × 537.66
  4. Step 4: Simplify right side
    963.06x = 714,530.79
  5. Step 5: Solve for x
    x = 714,530.79/963.06
  6. Step 6: Final answer
    x = 741.94

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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.