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Finding the Fourth Proportional to 795.12, 1,097.16 and 463.44

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Solution

The fourth proportional to 795.12, 1,097.16 and 463.44 is: 639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.12 : 1,097.16 = 463.44 : x
  2. Step 2: Convert to fraction form
    795.12/1,097.16 = 463.44/x
  3. Step 3: Cross multiply
    795.12x = 1,097.16 × 463.44
  4. Step 4: Simplify right side
    795.12x = 508,467.83
  5. Step 5: Solve for x
    x = 508,467.83/795.12
  6. Step 6: Final answer
    x = 639.49

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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.