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Finding the Fourth Proportional to 1,406.75, 2,111.09 and 494.75

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Solution

The fourth proportional to 1,406.75, 2,111.09 and 494.75 is: 742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.75 : 2,111.09 = 494.75 : x
  2. Step 2: Convert to fraction form
    1,406.75/2,111.09 = 494.75/x
  3. Step 3: Cross multiply
    1,406.75x = 2,111.09 × 494.75
  4. Step 4: Simplify right side
    1,406.75x = 1,044,461.78
  5. Step 5: Solve for x
    x = 1,044,461.78/1,406.75
  6. Step 6: Final answer
    x = 742.46

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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.