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Finding the Fourth Proportional to 852.49, 1,277.09 and 713.89

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Solution

The fourth proportional to 852.49, 1,277.09 and 713.89 is: 1,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.49 : 1,277.09 = 713.89 : x
  2. Step 2: Convert to fraction form
    852.49/1,277.09 = 713.89/x
  3. Step 3: Cross multiply
    852.49x = 1,277.09 × 713.89
  4. Step 4: Simplify right side
    852.49x = 911,691.83
  5. Step 5: Solve for x
    x = 911,691.83/852.49
  6. Step 6: Final answer
    x = 1,069.45

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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.