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Finding the Fourth Proportional to 795.64, 1,097.68 and 463.94

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Solution

The fourth proportional to 795.64, 1,097.68 and 463.94 is: 640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.64 : 1,097.68 = 463.94 : x
  2. Step 2: Convert to fraction form
    795.64/1,097.68 = 463.94/x
  3. Step 3: Cross multiply
    795.64x = 1,097.68 × 463.94
  4. Step 4: Simplify right side
    795.64x = 509,257.66
  5. Step 5: Solve for x
    x = 509,257.66/795.64
  6. Step 6: Final answer
    x = 640.06

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Why These Related Problems?

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