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Finding the Fourth Proportional to 1,364.47, 2,046.05 and 816.51

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Solution

The fourth proportional to 1,364.47, 2,046.05 and 816.51 is: 1,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.47 : 2,046.05 = 816.51 : x
  2. Step 2: Convert to fraction form
    1,364.47/2,046.05 = 816.51/x
  3. Step 3: Cross multiply
    1,364.47x = 2,046.05 × 816.51
  4. Step 4: Simplify right side
    1,364.47x = 1,670,605.97
  5. Step 5: Solve for x
    x = 1,670,605.97/1,364.47
  6. Step 6: Final answer
    x = 1,224.36

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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.