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Finding the Fourth Proportional to 4,307, 6,460.56 and 1,229

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Solution

The fourth proportional to 4,307, 6,460.56 and 1,229 is: 1,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307 : 6,460.56 = 1,229 : x
  2. Step 2: Convert to fraction form
    4,307/6,460.56 = 1,229/x
  3. Step 3: Cross multiply
    4,307x = 6,460.56 × 1,229
  4. Step 4: Simplify right side
    4,307x = 7,940,028.24
  5. Step 5: Solve for x
    x = 7,940,028.24/4,307
  6. Step 6: Final answer
    x = 1,843.52

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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.