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Finding the Fourth Proportional to 838.04, 1,257.14 and 275.16

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Solution

The fourth proportional to 838.04, 1,257.14 and 275.16 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,257.14 = 275.16 : x
  2. Step 2: Convert to fraction form
    838.04/1,257.14 = 275.16/x
  3. Step 3: Cross multiply
    838.04x = 1,257.14 × 275.16
  4. Step 4: Simplify right side
    838.04x = 345,914.64
  5. Step 5: Solve for x
    x = 345,914.64/838.04
  6. Step 6: Final answer
    x = 412.77

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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.