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Finding the Fourth Proportional to 1,157.72, 1,597.76 and 660.52

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Solution

The fourth proportional to 1,157.72, 1,597.76 and 660.52 is: 911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.72 : 1,597.76 = 660.52 : x
  2. Step 2: Convert to fraction form
    1,157.72/1,597.76 = 660.52/x
  3. Step 3: Cross multiply
    1,157.72x = 1,597.76 × 660.52
  4. Step 4: Simplify right side
    1,157.72x = 1,055,352.44
  5. Step 5: Solve for x
    x = 1,055,352.44/1,157.72
  6. Step 6: Final answer
    x = 911.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.