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Finding the Fourth Proportional to 942.87, 1,301.37 and 570.09

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Solution

The fourth proportional to 942.87, 1,301.37 and 570.09 is: 786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.87 : 1,301.37 = 570.09 : x
  2. Step 2: Convert to fraction form
    942.87/1,301.37 = 570.09/x
  3. Step 3: Cross multiply
    942.87x = 1,301.37 × 570.09
  4. Step 4: Simplify right side
    942.87x = 741,898.02
  5. Step 5: Solve for x
    x = 741,898.02/942.87
  6. Step 6: Final answer
    x = 786.85

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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.