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Finding the Fourth Proportional to 984.15, 1,474.34 and 549.99

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Solution

The fourth proportional to 984.15, 1,474.34 and 549.99 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.15 : 1,474.34 = 549.99 : x
  2. Step 2: Convert to fraction form
    984.15/1,474.34 = 549.99/x
  3. Step 3: Cross multiply
    984.15x = 1,474.34 × 549.99
  4. Step 4: Simplify right side
    984.15x = 810,869.51
  5. Step 5: Solve for x
    x = 810,869.51/984.15
  6. Step 6: Final answer
    x = 823.93

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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.