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Finding the Fourth Proportional to 1,088.16, 1,633.68 and 650.22

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Solution

The fourth proportional to 1,088.16, 1,633.68 and 650.22 is: 976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.16 : 1,633.68 = 650.22 : x
  2. Step 2: Convert to fraction form
    1,088.16/1,633.68 = 650.22/x
  3. Step 3: Cross multiply
    1,088.16x = 1,633.68 × 650.22
  4. Step 4: Simplify right side
    1,088.16x = 1,062,251.41
  5. Step 5: Solve for x
    x = 1,062,251.41/1,088.16
  6. Step 6: Final answer
    x = 976.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.