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Finding the Fourth Proportional to 792.34, 1,092.29 and 626.74

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Solution

The fourth proportional to 792.34, 1,092.29 and 626.74 is: 864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.34 : 1,092.29 = 626.74 : x
  2. Step 2: Convert to fraction form
    792.34/1,092.29 = 626.74/x
  3. Step 3: Cross multiply
    792.34x = 1,092.29 × 626.74
  4. Step 4: Simplify right side
    792.34x = 684,581.83
  5. Step 5: Solve for x
    x = 684,581.83/792.34
  6. Step 6: Final answer
    x = 864.00

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