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Finding the Fourth Proportional to 795.60, 1,097.91 and 446.25

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Solution

The fourth proportional to 795.60, 1,097.91 and 446.25 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,097.91 = 446.25 : x
  2. Step 2: Convert to fraction form
    795.60/1,097.91 = 446.25/x
  3. Step 3: Cross multiply
    795.60x = 1,097.91 × 446.25
  4. Step 4: Simplify right side
    795.60x = 489,942.34
  5. Step 5: Solve for x
    x = 489,942.34/795.60
  6. Step 6: Final answer
    x = 615.81

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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.