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Finding the Fourth Proportional to 876.29, 1,209.26 and 656.22

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Solution

The fourth proportional to 876.29, 1,209.26 and 656.22 is: 905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.29 : 1,209.26 = 656.22 : x
  2. Step 2: Convert to fraction form
    876.29/1,209.26 = 656.22/x
  3. Step 3: Cross multiply
    876.29x = 1,209.26 × 656.22
  4. Step 4: Simplify right side
    876.29x = 793,542.24
  5. Step 5: Solve for x
    x = 793,542.24/876.29
  6. Step 6: Final answer
    x = 905.57

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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.