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Finding the Fourth Proportional to 1,105.24, 1,657.94 and 528.60

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Solution

The fourth proportional to 1,105.24, 1,657.94 and 528.60 is: 792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.24 : 1,657.94 = 528.60 : x
  2. Step 2: Convert to fraction form
    1,105.24/1,657.94 = 528.60/x
  3. Step 3: Cross multiply
    1,105.24x = 1,657.94 × 528.60
  4. Step 4: Simplify right side
    1,105.24x = 876,387.08
  5. Step 5: Solve for x
    x = 876,387.08/1,105.24
  6. Step 6: Final answer
    x = 792.94

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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.