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Finding the Fourth Proportional to 1,010.46, 1,515.86 and 462.69

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Solution

The fourth proportional to 1,010.46, 1,515.86 and 462.69 is: 694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.46 : 1,515.86 = 462.69 : x
  2. Step 2: Convert to fraction form
    1,010.46/1,515.86 = 462.69/x
  3. Step 3: Cross multiply
    1,010.46x = 1,515.86 × 462.69
  4. Step 4: Simplify right side
    1,010.46x = 701,370.95
  5. Step 5: Solve for x
    x = 701,370.95/1,010.46
  6. Step 6: Final answer
    x = 694.11

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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.