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Finding the Fourth Proportional to 1,417, 2,124.22 and 723.28

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Solution

The fourth proportional to 1,417, 2,124.22 and 723.28 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417 : 2,124.22 = 723.28 : x
  2. Step 2: Convert to fraction form
    1,417/2,124.22 = 723.28/x
  3. Step 3: Cross multiply
    1,417x = 2,124.22 × 723.28
  4. Step 4: Simplify right side
    1,417x = 1,536,405.84
  5. Step 5: Solve for x
    x = 1,536,405.84/1,417
  6. Step 6: Final answer
    x = 1,084.27

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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.