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Finding the Fourth Proportional to 917.26, 1,376.43 and 686.32

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Solution

The fourth proportional to 917.26, 1,376.43 and 686.32 is: 1,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,376.43 = 686.32 : x
  2. Step 2: Convert to fraction form
    917.26/1,376.43 = 686.32/x
  3. Step 3: Cross multiply
    917.26x = 1,376.43 × 686.32
  4. Step 4: Simplify right side
    917.26x = 944,671.44
  5. Step 5: Solve for x
    x = 944,671.44/917.26
  6. Step 6: Final answer
    x = 1,029.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.