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Finding the Fourth Proportional to 795.89, 1,193.40 and 275.74

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Solution

The fourth proportional to 795.89, 1,193.40 and 275.74 is: 413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.89 : 1,193.40 = 275.74 : x
  2. Step 2: Convert to fraction form
    795.89/1,193.40 = 275.74/x
  3. Step 3: Cross multiply
    795.89x = 1,193.40 × 275.74
  4. Step 4: Simplify right side
    795.89x = 329,065.13
  5. Step 5: Solve for x
    x = 329,065.13/795.89
  6. Step 6: Final answer
    x = 413.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.