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Finding the Fourth Proportional to 1,012.14, 1,516.19 and 463.57

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Solution

The fourth proportional to 1,012.14, 1,516.19 and 463.57 is: 694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.14 : 1,516.19 = 463.57 : x
  2. Step 2: Convert to fraction form
    1,012.14/1,516.19 = 463.57/x
  3. Step 3: Cross multiply
    1,012.14x = 1,516.19 × 463.57
  4. Step 4: Simplify right side
    1,012.14x = 702,854.09
  5. Step 5: Solve for x
    x = 702,854.09/1,012.14
  6. Step 6: Final answer
    x = 694.42

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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.