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Finding the Fourth Proportional to 984.90, 1,477.62 and 801.84

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Solution

The fourth proportional to 984.90, 1,477.62 and 801.84 is: 1,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.90 : 1,477.62 = 801.84 : x
  2. Step 2: Convert to fraction form
    984.90/1,477.62 = 801.84/x
  3. Step 3: Cross multiply
    984.90x = 1,477.62 × 801.84
  4. Step 4: Simplify right side
    984.90x = 1,184,814.82
  5. Step 5: Solve for x
    x = 1,184,814.82/984.90
  6. Step 6: Final answer
    x = 1,202.98

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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.