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Finding the Fourth Proportional to 971.64, 1,340.94 and 816.12

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Solution

The fourth proportional to 971.64, 1,340.94 and 816.12 is: 1,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.64 : 1,340.94 = 816.12 : x
  2. Step 2: Convert to fraction form
    971.64/1,340.94 = 816.12/x
  3. Step 3: Cross multiply
    971.64x = 1,340.94 × 816.12
  4. Step 4: Simplify right side
    971.64x = 1,094,367.95
  5. Step 5: Solve for x
    x = 1,094,367.95/971.64
  6. Step 6: Final answer
    x = 1,126.31

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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.