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Finding the Fourth Proportional to 795.50, 1,193.06 and 275.52

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Solution

The fourth proportional to 795.50, 1,193.06 and 275.52 is: 413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.50 : 1,193.06 = 275.52 : x
  2. Step 2: Convert to fraction form
    795.50/1,193.06 = 275.52/x
  3. Step 3: Cross multiply
    795.50x = 1,193.06 × 275.52
  4. Step 4: Simplify right side
    795.50x = 328,711.89
  5. Step 5: Solve for x
    x = 328,711.89/795.50
  6. Step 6: Final answer
    x = 413.21

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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.