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Finding the Fourth Proportional to 778.75, 1,166.53 and 469.84

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Solution

The fourth proportional to 778.75, 1,166.53 and 469.84 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.75 : 1,166.53 = 469.84 : x
  2. Step 2: Convert to fraction form
    778.75/1,166.53 = 469.84/x
  3. Step 3: Cross multiply
    778.75x = 1,166.53 × 469.84
  4. Step 4: Simplify right side
    778.75x = 548,082.46
  5. Step 5: Solve for x
    x = 548,082.46/778.75
  6. Step 6: Final answer
    x = 703.80

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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.