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Finding the Fourth Proportional to 1,035.13, 1,428.42 and 569.38

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Solution

The fourth proportional to 1,035.13, 1,428.42 and 569.38 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.13 : 1,428.42 = 569.38 : x
  2. Step 2: Convert to fraction form
    1,035.13/1,428.42 = 569.38/x
  3. Step 3: Cross multiply
    1,035.13x = 1,428.42 × 569.38
  4. Step 4: Simplify right side
    1,035.13x = 813,313.78
  5. Step 5: Solve for x
    x = 813,313.78/1,035.13
  6. Step 6: Final answer
    x = 785.71

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Why These Related Problems?

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