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Finding the Fourth Proportional to 795.30, 1,097.16 and 480.24

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Solution

The fourth proportional to 795.30, 1,097.16 and 480.24 is: 662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.30 : 1,097.16 = 480.24 : x
  2. Step 2: Convert to fraction form
    795.30/1,097.16 = 480.24/x
  3. Step 3: Cross multiply
    795.30x = 1,097.16 × 480.24
  4. Step 4: Simplify right side
    795.30x = 526,900.12
  5. Step 5: Solve for x
    x = 526,900.12/795.30
  6. Step 6: Final answer
    x = 662.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.