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Finding the Fourth Proportional to 1,243.10, 1,866.03 and 513.14

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Solution

The fourth proportional to 1,243.10, 1,866.03 and 513.14 is: 770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.10 : 1,866.03 = 513.14 : x
  2. Step 2: Convert to fraction form
    1,243.10/1,866.03 = 513.14/x
  3. Step 3: Cross multiply
    1,243.10x = 1,866.03 × 513.14
  4. Step 4: Simplify right side
    1,243.10x = 957,534.63
  5. Step 5: Solve for x
    x = 957,534.63/1,243.10
  6. Step 6: Final answer
    x = 770.28

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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.