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Finding the Fourth Proportional to 962.41, 1,328.26 and 569.56

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Solution

The fourth proportional to 962.41, 1,328.26 and 569.56 is: 786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.41 : 1,328.26 = 569.56 : x
  2. Step 2: Convert to fraction form
    962.41/1,328.26 = 569.56/x
  3. Step 3: Cross multiply
    962.41x = 1,328.26 × 569.56
  4. Step 4: Simplify right side
    962.41x = 756,517.12
  5. Step 5: Solve for x
    x = 756,517.12/962.41
  6. Step 6: Final answer
    x = 786.07

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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.