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Finding the Fourth Proportional to 1,760.85, 2,641.32 and 528.28

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Solution

The fourth proportional to 1,760.85, 2,641.32 and 528.28 is: 792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.85 : 2,641.32 = 528.28 : x
  2. Step 2: Convert to fraction form
    1,760.85/2,641.32 = 528.28/x
  3. Step 3: Cross multiply
    1,760.85x = 2,641.32 × 528.28
  4. Step 4: Simplify right side
    1,760.85x = 1,395,349.93
  5. Step 5: Solve for x
    x = 1,395,349.93/1,760.85
  6. Step 6: Final answer
    x = 792.43

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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.