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Finding the Fourth Proportional to 1,097.85, 1,644.60 and 577.07

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Solution

The fourth proportional to 1,097.85, 1,644.60 and 577.07 is: 864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.85 : 1,644.60 = 577.07 : x
  2. Step 2: Convert to fraction form
    1,097.85/1,644.60 = 577.07/x
  3. Step 3: Cross multiply
    1,097.85x = 1,644.60 × 577.07
  4. Step 4: Simplify right side
    1,097.85x = 949,058.68
  5. Step 5: Solve for x
    x = 949,058.68/1,097.85
  6. Step 6: Final answer
    x = 864.47

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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.