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Finding the Fourth Proportional to 795.10, 1,097.24 and 463.64

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Solution

The fourth proportional to 795.10, 1,097.24 and 463.64 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.10 : 1,097.24 = 463.64 : x
  2. Step 2: Convert to fraction form
    795.10/1,097.24 = 463.64/x
  3. Step 3: Cross multiply
    795.10x = 1,097.24 × 463.64
  4. Step 4: Simplify right side
    795.10x = 508,724.35
  5. Step 5: Solve for x
    x = 508,724.35/795.10
  6. Step 6: Final answer
    x = 639.82

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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.