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Finding the Fourth Proportional to 795.84, 1,194.52 and 385.26

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Solution

The fourth proportional to 795.84, 1,194.52 and 385.26 is: 578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.84 : 1,194.52 = 385.26 : x
  2. Step 2: Convert to fraction form
    795.84/1,194.52 = 385.26/x
  3. Step 3: Cross multiply
    795.84x = 1,194.52 × 385.26
  4. Step 4: Simplify right side
    795.84x = 460,200.78
  5. Step 5: Solve for x
    x = 460,200.78/795.84
  6. Step 6: Final answer
    x = 578.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.