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Finding the Fourth Proportional to 1,544.24, 2,317.32 and 570.56

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Solution

The fourth proportional to 1,544.24, 2,317.32 and 570.56 is: 856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.24 : 2,317.32 = 570.56 : x
  2. Step 2: Convert to fraction form
    1,544.24/2,317.32 = 570.56/x
  3. Step 3: Cross multiply
    1,544.24x = 2,317.32 × 570.56
  4. Step 4: Simplify right side
    1,544.24x = 1,322,170.10
  5. Step 5: Solve for x
    x = 1,322,170.10/1,544.24
  6. Step 6: Final answer
    x = 856.19

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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.