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Finding the Fourth Proportional to 1,449.17, 2,172.42 and 524.51

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Solution

The fourth proportional to 1,449.17, 2,172.42 and 524.51 is: 786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.17 : 2,172.42 = 524.51 : x
  2. Step 2: Convert to fraction form
    1,449.17/2,172.42 = 524.51/x
  3. Step 3: Cross multiply
    1,449.17x = 2,172.42 × 524.51
  4. Step 4: Simplify right side
    1,449.17x = 1,139,456.01
  5. Step 5: Solve for x
    x = 1,139,456.01/1,449.17
  6. Step 6: Final answer
    x = 786.28

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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.