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Finding the Fourth Proportional to 1,076.09, 1,484.93 and 610.34

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Solution

The fourth proportional to 1,076.09, 1,484.93 and 610.34 is: 842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.09 : 1,484.93 = 610.34 : x
  2. Step 2: Convert to fraction form
    1,076.09/1,484.93 = 610.34/x
  3. Step 3: Cross multiply
    1,076.09x = 1,484.93 × 610.34
  4. Step 4: Simplify right side
    1,076.09x = 906,306.28
  5. Step 5: Solve for x
    x = 906,306.28/1,076.09
  6. Step 6: Final answer
    x = 842.23

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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.