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Finding the Fourth Proportional to 1,090.71, 1,635.05 and 397.22

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Solution

The fourth proportional to 1,090.71, 1,635.05 and 397.22 is: 595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.71 : 1,635.05 = 397.22 : x
  2. Step 2: Convert to fraction form
    1,090.71/1,635.05 = 397.22/x
  3. Step 3: Cross multiply
    1,090.71x = 1,635.05 × 397.22
  4. Step 4: Simplify right side
    1,090.71x = 649,464.40
  5. Step 5: Solve for x
    x = 649,464.40/1,090.71
  6. Step 6: Final answer
    x = 595.45

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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.