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Finding the Fourth Proportional to 795.61, 1,097.57 and 463.83

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Solution

The fourth proportional to 795.61, 1,097.57 and 463.83 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.61 : 1,097.57 = 463.83 : x
  2. Step 2: Convert to fraction form
    795.61/1,097.57 = 463.83/x
  3. Step 3: Cross multiply
    795.61x = 1,097.57 × 463.83
  4. Step 4: Simplify right side
    795.61x = 509,080.33
  5. Step 5: Solve for x
    x = 509,080.33/795.61
  6. Step 6: Final answer
    x = 639.87

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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.