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Finding the Fourth Proportional to 1,085.38, 1,627.58 and 500.24

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Solution

The fourth proportional to 1,085.38, 1,627.58 and 500.24 is: 750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.38 : 1,627.58 = 500.24 : x
  2. Step 2: Convert to fraction form
    1,085.38/1,627.58 = 500.24/x
  3. Step 3: Cross multiply
    1,085.38x = 1,627.58 × 500.24
  4. Step 4: Simplify right side
    1,085.38x = 814,183.12
  5. Step 5: Solve for x
    x = 814,183.12/1,085.38
  6. Step 6: Final answer
    x = 750.13

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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.