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Finding the Fourth Proportional to 1,090.45, 1,636.39 and 651.38

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Solution

The fourth proportional to 1,090.45, 1,636.39 and 651.38 is: 977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.45 : 1,636.39 = 651.38 : x
  2. Step 2: Convert to fraction form
    1,090.45/1,636.39 = 651.38/x
  3. Step 3: Cross multiply
    1,090.45x = 1,636.39 × 651.38
  4. Step 4: Simplify right side
    1,090.45x = 1,065,905.16
  5. Step 5: Solve for x
    x = 1,065,905.16/1,090.45
  6. Step 6: Final answer
    x = 977.49

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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.