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Finding the Fourth Proportional to 942.43, 1,299.57 and 569.33

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Solution

The fourth proportional to 942.43, 1,299.57 and 569.33 is: 785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.43 : 1,299.57 = 569.33 : x
  2. Step 2: Convert to fraction form
    942.43/1,299.57 = 569.33/x
  3. Step 3: Cross multiply
    942.43x = 1,299.57 × 569.33
  4. Step 4: Simplify right side
    942.43x = 739,884.19
  5. Step 5: Solve for x
    x = 739,884.19/942.43
  6. Step 6: Final answer
    x = 785.08

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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.