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Finding the Fourth Proportional to 963.48, 1,328.22 and 687

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Solution

The fourth proportional to 963.48, 1,328.22 and 687 is: 947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.48 : 1,328.22 = 687 : x
  2. Step 2: Convert to fraction form
    963.48/1,328.22 = 687/x
  3. Step 3: Cross multiply
    963.48x = 1,328.22 × 687
  4. Step 4: Simplify right side
    963.48x = 912,487.14
  5. Step 5: Solve for x
    x = 912,487.14/963.48
  6. Step 6: Final answer
    x = 947.07

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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.