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Finding the Fourth Proportional to 883.58, 1,218.78 and 569.24

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Solution

The fourth proportional to 883.58, 1,218.78 and 569.24 is: 785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.58 : 1,218.78 = 569.24 : x
  2. Step 2: Convert to fraction form
    883.58/1,218.78 = 569.24/x
  3. Step 3: Cross multiply
    883.58x = 1,218.78 × 569.24
  4. Step 4: Simplify right side
    883.58x = 693,778.33
  5. Step 5: Solve for x
    x = 693,778.33/883.58
  6. Step 6: Final answer
    x = 785.19

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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.