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Finding the Fourth Proportional to 1,143.01, 1,713.76 and 752.54

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Solution

The fourth proportional to 1,143.01, 1,713.76 and 752.54 is: 1,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.01 : 1,713.76 = 752.54 : x
  2. Step 2: Convert to fraction form
    1,143.01/1,713.76 = 752.54/x
  3. Step 3: Cross multiply
    1,143.01x = 1,713.76 × 752.54
  4. Step 4: Simplify right side
    1,143.01x = 1,289,672.14
  5. Step 5: Solve for x
    x = 1,289,672.14/1,143.01
  6. Step 6: Final answer
    x = 1,128.31

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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.