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Finding the Fourth Proportional to 795.66, 1,192.98 and 357.05

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Solution

The fourth proportional to 795.66, 1,192.98 and 357.05 is: 535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.66 : 1,192.98 = 357.05 : x
  2. Step 2: Convert to fraction form
    795.66/1,192.98 = 357.05/x
  3. Step 3: Cross multiply
    795.66x = 1,192.98 × 357.05
  4. Step 4: Simplify right side
    795.66x = 425,947.54
  5. Step 5: Solve for x
    x = 425,947.54/795.66
  6. Step 6: Final answer
    x = 535.34

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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.