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Finding the Fourth Proportional to 1,417, 2,125.74 and 733

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Solution

The fourth proportional to 1,417, 2,125.74 and 733 is: 1,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417 : 2,125.74 = 733 : x
  2. Step 2: Convert to fraction form
    1,417/2,125.74 = 733/x
  3. Step 3: Cross multiply
    1,417x = 2,125.74 × 733
  4. Step 4: Simplify right side
    1,417x = 1,558,167.42
  5. Step 5: Solve for x
    x = 1,558,167.42/1,417
  6. Step 6: Final answer
    x = 1,099.62

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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.