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Finding the Fourth Proportional to 876.27, 1,210.29 and 711.33

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Solution

The fourth proportional to 876.27, 1,210.29 and 711.33 is: 982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.27 : 1,210.29 = 711.33 : x
  2. Step 2: Convert to fraction form
    876.27/1,210.29 = 711.33/x
  3. Step 3: Cross multiply
    876.27x = 1,210.29 × 711.33
  4. Step 4: Simplify right side
    876.27x = 860,915.59
  5. Step 5: Solve for x
    x = 860,915.59/876.27
  6. Step 6: Final answer
    x = 982.48

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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.