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Finding the Fourth Proportional to 963.11, 1,328.19 and 715.05

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Solution

The fourth proportional to 963.11, 1,328.19 and 715.05 is: 986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.11 : 1,328.19 = 715.05 : x
  2. Step 2: Convert to fraction form
    963.11/1,328.19 = 715.05/x
  3. Step 3: Cross multiply
    963.11x = 1,328.19 × 715.05
  4. Step 4: Simplify right side
    963.11x = 949,722.26
  5. Step 5: Solve for x
    x = 949,722.26/963.11
  6. Step 6: Final answer
    x = 986.10

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Why These Related Problems?

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