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Finding the Fourth Proportional to 1,165.85, 1,749.78 and 618.42

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Solution

The fourth proportional to 1,165.85, 1,749.78 and 618.42 is: 928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.85 : 1,749.78 = 618.42 : x
  2. Step 2: Convert to fraction form
    1,165.85/1,749.78 = 618.42/x
  3. Step 3: Cross multiply
    1,165.85x = 1,749.78 × 618.42
  4. Step 4: Simplify right side
    1,165.85x = 1,082,098.95
  5. Step 5: Solve for x
    x = 1,082,098.95/1,165.85
  6. Step 6: Final answer
    x = 928.16

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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.