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Finding the Fourth Proportional to 1,090.40, 1,636.03 and 397.11

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Solution

The fourth proportional to 1,090.40, 1,636.03 and 397.11 is: 595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.40 : 1,636.03 = 397.11 : x
  2. Step 2: Convert to fraction form
    1,090.40/1,636.03 = 397.11/x
  3. Step 3: Cross multiply
    1,090.40x = 1,636.03 × 397.11
  4. Step 4: Simplify right side
    1,090.40x = 649,690.01
  5. Step 5: Solve for x
    x = 649,690.01/1,090.40
  6. Step 6: Final answer
    x = 595.83

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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.