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Finding the Fourth Proportional to 795.97, 1,193.96 and 470.35

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Solution

The fourth proportional to 795.97, 1,193.96 and 470.35 is: 705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.97 : 1,193.96 = 470.35 : x
  2. Step 2: Convert to fraction form
    795.97/1,193.96 = 470.35/x
  3. Step 3: Cross multiply
    795.97x = 1,193.96 × 470.35
  4. Step 4: Simplify right side
    795.97x = 561,579.09
  5. Step 5: Solve for x
    x = 561,579.09/795.97
  6. Step 6: Final answer
    x = 705.53

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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.