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Finding the Fourth Proportional to 838.61, 1,257.00 and 351.09

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Solution

The fourth proportional to 838.61, 1,257.00 and 351.09 is: 526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.61 : 1,257.00 = 351.09 : x
  2. Step 2: Convert to fraction form
    838.61/1,257.00 = 351.09/x
  3. Step 3: Cross multiply
    838.61x = 1,257.00 × 351.09
  4. Step 4: Simplify right side
    838.61x = 441,316.11
  5. Step 5: Solve for x
    x = 441,316.11/838.61
  6. Step 6: Final answer
    x = 526.25

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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.