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Finding the Fourth Proportional to 795.38, 1,097.57 and 446

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Solution

The fourth proportional to 795.38, 1,097.57 and 446 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.38 : 1,097.57 = 446 : x
  2. Step 2: Convert to fraction form
    795.38/1,097.57 = 446/x
  3. Step 3: Cross multiply
    795.38x = 1,097.57 × 446
  4. Step 4: Simplify right side
    795.38x = 489,513.99
  5. Step 5: Solve for x
    x = 489,513.99/795.38
  6. Step 6: Final answer
    x = 615.45

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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.