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Finding the Fourth Proportional to 795.14, 1,097.24 and 463.58

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Solution

The fourth proportional to 795.14, 1,097.24 and 463.58 is: 639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.14 : 1,097.24 = 463.58 : x
  2. Step 2: Convert to fraction form
    795.14/1,097.24 = 463.58/x
  3. Step 3: Cross multiply
    795.14x = 1,097.24 × 463.58
  4. Step 4: Simplify right side
    795.14x = 508,658.52
  5. Step 5: Solve for x
    x = 508,658.52/795.14
  6. Step 6: Final answer
    x = 639.71

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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.