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Finding the Fourth Proportional to 1,090.59, 1,635.61 and 397.14

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Solution

The fourth proportional to 1,090.59, 1,635.61 and 397.14 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.59 : 1,635.61 = 397.14 : x
  2. Step 2: Convert to fraction form
    1,090.59/1,635.61 = 397.14/x
  3. Step 3: Cross multiply
    1,090.59x = 1,635.61 × 397.14
  4. Step 4: Simplify right side
    1,090.59x = 649,566.16
  5. Step 5: Solve for x
    x = 649,566.16/1,090.59
  6. Step 6: Final answer
    x = 595.61

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