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Finding the Fourth Proportional to 889.83, 1,334.66 and 312.71

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Solution

The fourth proportional to 889.83, 1,334.66 and 312.71 is: 469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.83 : 1,334.66 = 312.71 : x
  2. Step 2: Convert to fraction form
    889.83/1,334.66 = 312.71/x
  3. Step 3: Cross multiply
    889.83x = 1,334.66 × 312.71
  4. Step 4: Simplify right side
    889.83x = 417,353.29
  5. Step 5: Solve for x
    x = 417,353.29/889.83
  6. Step 6: Final answer
    x = 469.03

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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.