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Finding the Fourth Proportional to 798.68, 1,197.91 and 304.95

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Solution

The fourth proportional to 798.68, 1,197.91 and 304.95 is: 457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.68 : 1,197.91 = 304.95 : x
  2. Step 2: Convert to fraction form
    798.68/1,197.91 = 304.95/x
  3. Step 3: Cross multiply
    798.68x = 1,197.91 × 304.95
  4. Step 4: Simplify right side
    798.68x = 365,302.65
  5. Step 5: Solve for x
    x = 365,302.65/798.68
  6. Step 6: Final answer
    x = 457.38

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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.