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Finding the Fourth Proportional to 1,143.50, 1,718.89 and 713.39

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Solution

The fourth proportional to 1,143.50, 1,718.89 and 713.39 is: 1,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.50 : 1,718.89 = 713.39 : x
  2. Step 2: Convert to fraction form
    1,143.50/1,718.89 = 713.39/x
  3. Step 3: Cross multiply
    1,143.50x = 1,718.89 × 713.39
  4. Step 4: Simplify right side
    1,143.50x = 1,226,228.56
  5. Step 5: Solve for x
    x = 1,226,228.56/1,143.50
  6. Step 6: Final answer
    x = 1,072.35

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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.