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Finding the Fourth Proportional to 795, 1,097.12 and 445.76

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Solution

The fourth proportional to 795, 1,097.12 and 445.76 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    795 : 1,097.12 = 445.76 : x
  2. Step 2: Convert to fraction form
    795/1,097.12 = 445.76/x
  3. Step 3: Cross multiply
    795x = 1,097.12 × 445.76
  4. Step 4: Simplify right side
    795x = 489,052.21
  5. Step 5: Solve for x
    x = 489,052.21/795
  6. Step 6: Final answer
    x = 615.16

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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.