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Finding the Fourth Proportional to 889.43, 1,333.71 and 402.14

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Solution

The fourth proportional to 889.43, 1,333.71 and 402.14 is: 603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.43 : 1,333.71 = 402.14 : x
  2. Step 2: Convert to fraction form
    889.43/1,333.71 = 402.14/x
  3. Step 3: Cross multiply
    889.43x = 1,333.71 × 402.14
  4. Step 4: Simplify right side
    889.43x = 536,338.14
  5. Step 5: Solve for x
    x = 536,338.14/889.43
  6. Step 6: Final answer
    x = 603.01

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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.