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Finding the Fourth Proportional to 795.11, 1,097.14 and 458.88

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Solution

The fourth proportional to 795.11, 1,097.14 and 458.88 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.11 : 1,097.14 = 458.88 : x
  2. Step 2: Convert to fraction form
    795.11/1,097.14 = 458.88/x
  3. Step 3: Cross multiply
    795.11x = 1,097.14 × 458.88
  4. Step 4: Simplify right side
    795.11x = 503,459.72
  5. Step 5: Solve for x
    x = 503,459.72/795.11
  6. Step 6: Final answer
    x = 633.19

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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.