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Finding the Fourth Proportional to 1,092.26, 1,507.29 and 626.66

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Solution

The fourth proportional to 1,092.26, 1,507.29 and 626.66 is: 864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.26 : 1,507.29 = 626.66 : x
  2. Step 2: Convert to fraction form
    1,092.26/1,507.29 = 626.66/x
  3. Step 3: Cross multiply
    1,092.26x = 1,507.29 × 626.66
  4. Step 4: Simplify right side
    1,092.26x = 944,558.35
  5. Step 5: Solve for x
    x = 944,558.35/1,092.26
  6. Step 6: Final answer
    x = 864.77

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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.