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Finding the Fourth Proportional to 4,203, 6,304.68 and 1,125

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Solution

The fourth proportional to 4,203, 6,304.68 and 1,125 is: 1,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203 : 6,304.68 = 1,125 : x
  2. Step 2: Convert to fraction form
    4,203/6,304.68 = 1,125/x
  3. Step 3: Cross multiply
    4,203x = 6,304.68 × 1,125
  4. Step 4: Simplify right side
    4,203x = 7,092,765
  5. Step 5: Solve for x
    x = 7,092,765/4,203
  6. Step 6: Final answer
    x = 1,687.55

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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.