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Finding the Fourth Proportional to 1,012.21, 1,517.70 and 491.18

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Solution

The fourth proportional to 1,012.21, 1,517.70 and 491.18 is: 736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.21 : 1,517.70 = 491.18 : x
  2. Step 2: Convert to fraction form
    1,012.21/1,517.70 = 491.18/x
  3. Step 3: Cross multiply
    1,012.21x = 1,517.70 × 491.18
  4. Step 4: Simplify right side
    1,012.21x = 745,463.89
  5. Step 5: Solve for x
    x = 745,463.89/1,012.21
  6. Step 6: Final answer
    x = 736.48

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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.