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Finding the Fourth Proportional to 1,333.25, 1,999.88 and 421.25

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Solution

The fourth proportional to 1,333.25, 1,999.88 and 421.25 is: 631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.25 : 1,999.88 = 421.25 : x
  2. Step 2: Convert to fraction form
    1,333.25/1,999.88 = 421.25/x
  3. Step 3: Cross multiply
    1,333.25x = 1,999.88 × 421.25
  4. Step 4: Simplify right side
    1,333.25x = 842,447.34
  5. Step 5: Solve for x
    x = 842,447.34/1,333.25
  6. Step 6: Final answer
    x = 631.88

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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.