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Finding the Fourth Proportional to 1,092.03, 1,506.93 and 649.85

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Solution

The fourth proportional to 1,092.03, 1,506.93 and 649.85 is: 896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.03 : 1,506.93 = 649.85 : x
  2. Step 2: Convert to fraction form
    1,092.03/1,506.93 = 649.85/x
  3. Step 3: Cross multiply
    1,092.03x = 1,506.93 × 649.85
  4. Step 4: Simplify right side
    1,092.03x = 979,279.79
  5. Step 5: Solve for x
    x = 979,279.79/1,092.03
  6. Step 6: Final answer
    x = 896.75

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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.