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Finding the Fourth Proportional to 893, 1,232.34 and 597.80

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Solution

The fourth proportional to 893, 1,232.34 and 597.80 is: 824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    893 : 1,232.34 = 597.80 : x
  2. Step 2: Convert to fraction form
    893/1,232.34 = 597.80/x
  3. Step 3: Cross multiply
    893x = 1,232.34 × 597.80
  4. Step 4: Simplify right side
    893x = 736,692.85
  5. Step 5: Solve for x
    x = 736,692.85/893
  6. Step 6: Final answer
    x = 824.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.