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Finding the Fourth Proportional to 1,471.84, 2,208.03 and 650.14

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Solution

The fourth proportional to 1,471.84, 2,208.03 and 650.14 is: 975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.84 : 2,208.03 = 650.14 : x
  2. Step 2: Convert to fraction form
    1,471.84/2,208.03 = 650.14/x
  3. Step 3: Cross multiply
    1,471.84x = 2,208.03 × 650.14
  4. Step 4: Simplify right side
    1,471.84x = 1,435,520.67
  5. Step 5: Solve for x
    x = 1,435,520.67/1,471.84
  6. Step 6: Final answer
    x = 975.33

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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.