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Finding the Fourth Proportional to 599.73, 893.41 and 581.59

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Solution

The fourth proportional to 599.73, 893.41 and 581.59 is: 866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.73 : 893.41 = 581.59 : x
  2. Step 2: Convert to fraction form
    599.73/893.41 = 581.59/x
  3. Step 3: Cross multiply
    599.73x = 893.41 × 581.59
  4. Step 4: Simplify right side
    599.73x = 519,598.32
  5. Step 5: Solve for x
    x = 519,598.32/599.73
  6. Step 6: Final answer
    x = 866.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.