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Finding the Fourth Proportional to 795.03, 1,097.16 and 463.47

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Solution

The fourth proportional to 795.03, 1,097.16 and 463.47 is: 639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.03 : 1,097.16 = 463.47 : x
  2. Step 2: Convert to fraction form
    795.03/1,097.16 = 463.47/x
  3. Step 3: Cross multiply
    795.03x = 1,097.16 × 463.47
  4. Step 4: Simplify right side
    795.03x = 508,500.75
  5. Step 5: Solve for x
    x = 508,500.75/795.03
  6. Step 6: Final answer
    x = 639.60

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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.