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Finding the Fourth Proportional to 1,029.73, 1,420.80 and 610.21

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Solution

The fourth proportional to 1,029.73, 1,420.80 and 610.21 is: 841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.73 : 1,420.80 = 610.21 : x
  2. Step 2: Convert to fraction form
    1,029.73/1,420.80 = 610.21/x
  3. Step 3: Cross multiply
    1,029.73x = 1,420.80 × 610.21
  4. Step 4: Simplify right side
    1,029.73x = 866,986.37
  5. Step 5: Solve for x
    x = 866,986.37/1,029.73
  6. Step 6: Final answer
    x = 841.96

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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.