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Finding the Fourth Proportional to 908.94, 1,254.32 and 494.94

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Solution

The fourth proportional to 908.94, 1,254.32 and 494.94 is: 683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.94 : 1,254.32 = 494.94 : x
  2. Step 2: Convert to fraction form
    908.94/1,254.32 = 494.94/x
  3. Step 3: Cross multiply
    908.94x = 1,254.32 × 494.94
  4. Step 4: Simplify right side
    908.94x = 620,813.14
  5. Step 5: Solve for x
    x = 620,813.14/908.94
  6. Step 6: Final answer
    x = 683.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.