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Finding the Fourth Proportional to 1,406.84, 2,110.27 and 482.41

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Solution

The fourth proportional to 1,406.84, 2,110.27 and 482.41 is: 723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.84 : 2,110.27 = 482.41 : x
  2. Step 2: Convert to fraction form
    1,406.84/2,110.27 = 482.41/x
  3. Step 3: Cross multiply
    1,406.84x = 2,110.27 × 482.41
  4. Step 4: Simplify right side
    1,406.84x = 1,018,002.39
  5. Step 5: Solve for x
    x = 1,018,002.39/1,406.84
  6. Step 6: Final answer
    x = 723.61

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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.