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Finding the Fourth Proportional to 1,010.85, 1,513.44 and 644.73

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Solution

The fourth proportional to 1,010.85, 1,513.44 and 644.73 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.85 : 1,513.44 = 644.73 : x
  2. Step 2: Convert to fraction form
    1,010.85/1,513.44 = 644.73/x
  3. Step 3: Cross multiply
    1,010.85x = 1,513.44 × 644.73
  4. Step 4: Simplify right side
    1,010.85x = 975,760.17
  5. Step 5: Solve for x
    x = 975,760.17/1,010.85
  6. Step 6: Final answer
    x = 965.29

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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.