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Finding the Fourth Proportional to 1,357.24, 2,035.26 and 577.21

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Solution

The fourth proportional to 1,357.24, 2,035.26 and 577.21 is: 865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.24 : 2,035.26 = 577.21 : x
  2. Step 2: Convert to fraction form
    1,357.24/2,035.26 = 577.21/x
  3. Step 3: Cross multiply
    1,357.24x = 2,035.26 × 577.21
  4. Step 4: Simplify right side
    1,357.24x = 1,174,772.42
  5. Step 5: Solve for x
    x = 1,174,772.42/1,357.24
  6. Step 6: Final answer
    x = 865.56

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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.