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Finding the Fourth Proportional to 675.92, 1,012.26 and 569

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Solution

The fourth proportional to 675.92, 1,012.26 and 569 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.92 : 1,012.26 = 569 : x
  2. Step 2: Convert to fraction form
    675.92/1,012.26 = 569/x
  3. Step 3: Cross multiply
    675.92x = 1,012.26 × 569
  4. Step 4: Simplify right side
    675.92x = 575,975.94
  5. Step 5: Solve for x
    x = 575,975.94/675.92
  6. Step 6: Final answer
    x = 852.14

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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.