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Finding the Fourth Proportional to 685.94, 1,029.06 and 253.14

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Solution

The fourth proportional to 685.94, 1,029.06 and 253.14 is: 379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 1,029.06 = 253.14 : x
  2. Step 2: Convert to fraction form
    685.94/1,029.06 = 253.14/x
  3. Step 3: Cross multiply
    685.94x = 1,029.06 × 253.14
  4. Step 4: Simplify right side
    685.94x = 260,496.25
  5. Step 5: Solve for x
    x = 260,496.25/685.94
  6. Step 6: Final answer
    x = 379.77

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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.