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Finding the Fourth Proportional to 795.01, 1,096.95 and 463.48

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Solution

The fourth proportional to 795.01, 1,096.95 and 463.48 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.01 : 1,096.95 = 463.48 : x
  2. Step 2: Convert to fraction form
    795.01/1,096.95 = 463.48/x
  3. Step 3: Cross multiply
    795.01x = 1,096.95 × 463.48
  4. Step 4: Simplify right side
    795.01x = 508,414.39
  5. Step 5: Solve for x
    x = 508,414.39/795.01
  6. Step 6: Final answer
    x = 639.51

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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.