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Finding the Fourth Proportional to 1,094.36, 1,632.69 and 963.14

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Solution

The fourth proportional to 1,094.36, 1,632.69 and 963.14 is: 1,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.36 : 1,632.69 = 963.14 : x
  2. Step 2: Convert to fraction form
    1,094.36/1,632.69 = 963.14/x
  3. Step 3: Cross multiply
    1,094.36x = 1,632.69 × 963.14
  4. Step 4: Simplify right side
    1,094.36x = 1,572,500.88
  5. Step 5: Solve for x
    x = 1,572,500.88/1,094.36
  6. Step 6: Final answer
    x = 1,436.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.