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Finding the Fourth Proportional to 803.42, 1,206.23 and 413.74

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Solution

The fourth proportional to 803.42, 1,206.23 and 413.74 is: 621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.42 : 1,206.23 = 413.74 : x
  2. Step 2: Convert to fraction form
    803.42/1,206.23 = 413.74/x
  3. Step 3: Cross multiply
    803.42x = 1,206.23 × 413.74
  4. Step 4: Simplify right side
    803.42x = 499,065.60
  5. Step 5: Solve for x
    x = 499,065.60/803.42
  6. Step 6: Final answer
    x = 621.18

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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.