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Finding the Fourth Proportional to 1,029.82, 1,420.02 and 656.38

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Solution

The fourth proportional to 1,029.82, 1,420.02 and 656.38 is: 905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.82 : 1,420.02 = 656.38 : x
  2. Step 2: Convert to fraction form
    1,029.82/1,420.02 = 656.38/x
  3. Step 3: Cross multiply
    1,029.82x = 1,420.02 × 656.38
  4. Step 4: Simplify right side
    1,029.82x = 932,072.73
  5. Step 5: Solve for x
    x = 932,072.73/1,029.82
  6. Step 6: Final answer
    x = 905.08

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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.