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Finding the Fourth Proportional to 803.84, 1,204.32 and 413.36

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Solution

The fourth proportional to 803.84, 1,204.32 and 413.36 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.84 : 1,204.32 = 413.36 : x
  2. Step 2: Convert to fraction form
    803.84/1,204.32 = 413.36/x
  3. Step 3: Cross multiply
    803.84x = 1,204.32 × 413.36
  4. Step 4: Simplify right side
    803.84x = 497,817.72
  5. Step 5: Solve for x
    x = 497,817.72/803.84
  6. Step 6: Final answer
    x = 619.30

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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.