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Finding the Fourth Proportional to 889.97, 1,334.65 and 421.39

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Solution

The fourth proportional to 889.97, 1,334.65 and 421.39 is: 631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.97 : 1,334.65 = 421.39 : x
  2. Step 2: Convert to fraction form
    889.97/1,334.65 = 421.39/x
  3. Step 3: Cross multiply
    889.97x = 1,334.65 × 421.39
  4. Step 4: Simplify right side
    889.97x = 562,403.77
  5. Step 5: Solve for x
    x = 562,403.77/889.97
  6. Step 6: Final answer
    x = 631.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.