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Finding the Fourth Proportional to 1,069.35, 1,475.33 and 649.85

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Solution

The fourth proportional to 1,069.35, 1,475.33 and 649.85 is: 896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.35 : 1,475.33 = 649.85 : x
  2. Step 2: Convert to fraction form
    1,069.35/1,475.33 = 649.85/x
  3. Step 3: Cross multiply
    1,069.35x = 1,475.33 × 649.85
  4. Step 4: Simplify right side
    1,069.35x = 958,732.57
  5. Step 5: Solve for x
    x = 958,732.57/1,069.35
  6. Step 6: Final answer
    x = 896.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.