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Finding the Fourth Proportional to 1,010.89, 1,516.15 and 462.95

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Solution

The fourth proportional to 1,010.89, 1,516.15 and 462.95 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.89 : 1,516.15 = 462.95 : x
  2. Step 2: Convert to fraction form
    1,010.89/1,516.15 = 462.95/x
  3. Step 3: Cross multiply
    1,010.89x = 1,516.15 × 462.95
  4. Step 4: Simplify right side
    1,010.89x = 701,900.33
  5. Step 5: Solve for x
    x = 701,900.33/1,010.89
  6. Step 6: Final answer
    x = 694.34

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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.