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Finding the Fourth Proportional to 1,035.31, 1,428.81 and 569.56

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Solution

The fourth proportional to 1,035.31, 1,428.81 and 569.56 is: 786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.31 : 1,428.81 = 569.56 : x
  2. Step 2: Convert to fraction form
    1,035.31/1,428.81 = 569.56/x
  3. Step 3: Cross multiply
    1,035.31x = 1,428.81 × 569.56
  4. Step 4: Simplify right side
    1,035.31x = 813,793.02
  5. Step 5: Solve for x
    x = 813,793.02/1,035.31
  6. Step 6: Final answer
    x = 786.04

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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.