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Finding the Fourth Proportional to 1,122.17, 1,680.23 and 731.00

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Solution

The fourth proportional to 1,122.17, 1,680.23 and 731.00 is: 1,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.17 : 1,680.23 = 731.00 : x
  2. Step 2: Convert to fraction form
    1,122.17/1,680.23 = 731.00/x
  3. Step 3: Cross multiply
    1,122.17x = 1,680.23 × 731.00
  4. Step 4: Simplify right side
    1,122.17x = 1,228,236.07
  5. Step 5: Solve for x
    x = 1,228,236.07/1,122.17
  6. Step 6: Final answer
    x = 1,094.52

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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.