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Finding the Fourth Proportional to 803.57, 1,206.47 and 413.84

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Solution

The fourth proportional to 803.57, 1,206.47 and 413.84 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.57 : 1,206.47 = 413.84 : x
  2. Step 2: Convert to fraction form
    803.57/1,206.47 = 413.84/x
  3. Step 3: Cross multiply
    803.57x = 1,206.47 × 413.84
  4. Step 4: Simplify right side
    803.57x = 499,289.60
  5. Step 5: Solve for x
    x = 499,289.60/803.57
  6. Step 6: Final answer
    x = 621.34

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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.