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Finding the Fourth Proportional to 1,129.08, 1,690.08 and 758.16

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Solution

The fourth proportional to 1,129.08, 1,690.08 and 758.16 is: 1,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.08 : 1,690.08 = 758.16 : x
  2. Step 2: Convert to fraction form
    1,129.08/1,690.08 = 758.16/x
  3. Step 3: Cross multiply
    1,129.08x = 1,690.08 × 758.16
  4. Step 4: Simplify right side
    1,129.08x = 1,281,351.05
  5. Step 5: Solve for x
    x = 1,281,351.05/1,129.08
  6. Step 6: Final answer
    x = 1,134.86

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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.