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Finding the Fourth Proportional to 795.17, 1,097.37 and 463.55

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Solution

The fourth proportional to 795.17, 1,097.37 and 463.55 is: 639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.17 : 1,097.37 = 463.55 : x
  2. Step 2: Convert to fraction form
    795.17/1,097.37 = 463.55/x
  3. Step 3: Cross multiply
    795.17x = 1,097.37 × 463.55
  4. Step 4: Simplify right side
    795.17x = 508,685.86
  5. Step 5: Solve for x
    x = 508,685.86/795.17
  6. Step 6: Final answer
    x = 639.72

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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.