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Finding the Fourth Proportional to 795.45, 1,193.04 and 275.40

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Solution

The fourth proportional to 795.45, 1,193.04 and 275.40 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.45 : 1,193.04 = 275.40 : x
  2. Step 2: Convert to fraction form
    795.45/1,193.04 = 275.40/x
  3. Step 3: Cross multiply
    795.45x = 1,193.04 × 275.40
  4. Step 4: Simplify right side
    795.45x = 328,563.22
  5. Step 5: Solve for x
    x = 328,563.22/795.45
  6. Step 6: Final answer
    x = 413.05

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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.