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Finding the Fourth Proportional to 1,090.63, 1,636.22 and 969.81

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Solution

The fourth proportional to 1,090.63, 1,636.22 and 969.81 is: 1,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.63 : 1,636.22 = 969.81 : x
  2. Step 2: Convert to fraction form
    1,090.63/1,636.22 = 969.81/x
  3. Step 3: Cross multiply
    1,090.63x = 1,636.22 × 969.81
  4. Step 4: Simplify right side
    1,090.63x = 1,586,822.52
  5. Step 5: Solve for x
    x = 1,586,822.52/1,090.63
  6. Step 6: Final answer
    x = 1,454.96

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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.