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Finding the Fourth Proportional to 1,029.93, 1,552.13 and 927.33

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Solution

The fourth proportional to 1,029.93, 1,552.13 and 927.33 is: 1,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.93 : 1,552.13 = 927.33 : x
  2. Step 2: Convert to fraction form
    1,029.93/1,552.13 = 927.33/x
  3. Step 3: Cross multiply
    1,029.93x = 1,552.13 × 927.33
  4. Step 4: Simplify right side
    1,029.93x = 1,439,339.03
  5. Step 5: Solve for x
    x = 1,439,339.03/1,029.93
  6. Step 6: Final answer
    x = 1,397.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.