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Finding the Fourth Proportional to 889.24, 1,333.87 and 583.03

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Solution

The fourth proportional to 889.24, 1,333.87 and 583.03 is: 874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.24 : 1,333.87 = 583.03 : x
  2. Step 2: Convert to fraction form
    889.24/1,333.87 = 583.03/x
  3. Step 3: Cross multiply
    889.24x = 1,333.87 × 583.03
  4. Step 4: Simplify right side
    889.24x = 777,683.31
  5. Step 5: Solve for x
    x = 777,683.31/889.24
  6. Step 6: Final answer
    x = 874.55

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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.