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Finding the Fourth Proportional to 795.18, 1,097.34 and 463.59

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Solution

The fourth proportional to 795.18, 1,097.34 and 463.59 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.18 : 1,097.34 = 463.59 : x
  2. Step 2: Convert to fraction form
    795.18/1,097.34 = 463.59/x
  3. Step 3: Cross multiply
    795.18x = 1,097.34 × 463.59
  4. Step 4: Simplify right side
    795.18x = 508,715.85
  5. Step 5: Solve for x
    x = 508,715.85/795.18
  6. Step 6: Final answer
    x = 639.75

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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.