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Finding the Fourth Proportional to 1,016.62, 1,516.86 and 945.95

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Solution

The fourth proportional to 1,016.62, 1,516.86 and 945.95 is: 1,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.62 : 1,516.86 = 945.95 : x
  2. Step 2: Convert to fraction form
    1,016.62/1,516.86 = 945.95/x
  3. Step 3: Cross multiply
    1,016.62x = 1,516.86 × 945.95
  4. Step 4: Simplify right side
    1,016.62x = 1,434,866.13
  5. Step 5: Solve for x
    x = 1,434,866.13/1,016.62
  6. Step 6: Final answer
    x = 1,411.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.