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Finding the Fourth Proportional to 1,449, 2,172.04 and 524.08

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Solution

The fourth proportional to 1,449, 2,172.04 and 524.08 is: 785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449 : 2,172.04 = 524.08 : x
  2. Step 2: Convert to fraction form
    1,449/2,172.04 = 524.08/x
  3. Step 3: Cross multiply
    1,449x = 2,172.04 × 524.08
  4. Step 4: Simplify right side
    1,449x = 1,138,322.72
  5. Step 5: Solve for x
    x = 1,138,322.72/1,449
  6. Step 6: Final answer
    x = 785.59

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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.