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Finding the Fourth Proportional to 798.02, 1,196.09 and 469.11

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Solution

The fourth proportional to 798.02, 1,196.09 and 469.11 is: 703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.02 : 1,196.09 = 469.11 : x
  2. Step 2: Convert to fraction form
    798.02/1,196.09 = 469.11/x
  3. Step 3: Cross multiply
    798.02x = 1,196.09 × 469.11
  4. Step 4: Simplify right side
    798.02x = 561,097.78
  5. Step 5: Solve for x
    x = 561,097.78/798.02
  6. Step 6: Final answer
    x = 703.11

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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.