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Finding the Fourth Proportional to 1,046.47, 1,440.84 and 796.99

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Solution

The fourth proportional to 1,046.47, 1,440.84 and 796.99 is: 1,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.47 : 1,440.84 = 796.99 : x
  2. Step 2: Convert to fraction form
    1,046.47/1,440.84 = 796.99/x
  3. Step 3: Cross multiply
    1,046.47x = 1,440.84 × 796.99
  4. Step 4: Simplify right side
    1,046.47x = 1,148,335.07
  5. Step 5: Solve for x
    x = 1,148,335.07/1,046.47
  6. Step 6: Final answer
    x = 1,097.34

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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.