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Finding the Fourth Proportional to 916.26, 1,263.60 and 688.22

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Solution

The fourth proportional to 916.26, 1,263.60 and 688.22 is: 949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.26 : 1,263.60 = 688.22 : x
  2. Step 2: Convert to fraction form
    916.26/1,263.60 = 688.22/x
  3. Step 3: Cross multiply
    916.26x = 1,263.60 × 688.22
  4. Step 4: Simplify right side
    916.26x = 869,634.79
  5. Step 5: Solve for x
    x = 869,634.79/916.26
  6. Step 6: Final answer
    x = 949.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.