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Finding the Fourth Proportional to 1,011.93, 1,519.11 and 686.31

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Solution

The fourth proportional to 1,011.93, 1,519.11 and 686.31 is: 1,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.93 : 1,519.11 = 686.31 : x
  2. Step 2: Convert to fraction form
    1,011.93/1,519.11 = 686.31/x
  3. Step 3: Cross multiply
    1,011.93x = 1,519.11 × 686.31
  4. Step 4: Simplify right side
    1,011.93x = 1,042,580.38
  5. Step 5: Solve for x
    x = 1,042,580.38/1,011.93
  6. Step 6: Final answer
    x = 1,030.29

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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.