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Finding the Fourth Proportional to 594.03, 889.62 and 506.87

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Solution

The fourth proportional to 594.03, 889.62 and 506.87 is: 759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.03 : 889.62 = 506.87 : x
  2. Step 2: Convert to fraction form
    594.03/889.62 = 506.87/x
  3. Step 3: Cross multiply
    594.03x = 889.62 × 506.87
  4. Step 4: Simplify right side
    594.03x = 450,921.69
  5. Step 5: Solve for x
    x = 450,921.69/594.03
  6. Step 6: Final answer
    x = 759.09

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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.