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Finding the Fourth Proportional to 793.35, 1,190.03 and 465.30

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Solution

The fourth proportional to 793.35, 1,190.03 and 465.30 is: 697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.35 : 1,190.03 = 465.30 : x
  2. Step 2: Convert to fraction form
    793.35/1,190.03 = 465.30/x
  3. Step 3: Cross multiply
    793.35x = 1,190.03 × 465.30
  4. Step 4: Simplify right side
    793.35x = 553,718.63
  5. Step 5: Solve for x
    x = 553,718.63/793.35
  6. Step 6: Final answer
    x = 697.95

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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.