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Finding the Fourth Proportional to 1,011.46, 1,517.56 and 491.19

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Solution

The fourth proportional to 1,011.46, 1,517.56 and 491.19 is: 736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.46 : 1,517.56 = 491.19 : x
  2. Step 2: Convert to fraction form
    1,011.46/1,517.56 = 491.19/x
  3. Step 3: Cross multiply
    1,011.46x = 1,517.56 × 491.19
  4. Step 4: Simplify right side
    1,011.46x = 745,409.03
  5. Step 5: Solve for x
    x = 745,409.03/1,011.46
  6. Step 6: Final answer
    x = 736.96

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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.