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Finding the Fourth Proportional to 1,492.27, 2,238.33 and 452.27

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Solution

The fourth proportional to 1,492.27, 2,238.33 and 452.27 is: 678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.27 : 2,238.33 = 452.27 : x
  2. Step 2: Convert to fraction form
    1,492.27/2,238.33 = 452.27/x
  3. Step 3: Cross multiply
    1,492.27x = 2,238.33 × 452.27
  4. Step 4: Simplify right side
    1,492.27x = 1,012,329.51
  5. Step 5: Solve for x
    x = 1,012,329.51/1,492.27
  6. Step 6: Final answer
    x = 678.38

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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.