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Finding the Fourth Proportional to 1,150.48, 1,724.64 and 572.72

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Solution

The fourth proportional to 1,150.48, 1,724.64 and 572.72 is: 858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.48 : 1,724.64 = 572.72 : x
  2. Step 2: Convert to fraction form
    1,150.48/1,724.64 = 572.72/x
  3. Step 3: Cross multiply
    1,150.48x = 1,724.64 × 572.72
  4. Step 4: Simplify right side
    1,150.48x = 987,735.82
  5. Step 5: Solve for x
    x = 987,735.82/1,150.48
  6. Step 6: Final answer
    x = 858.54

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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.