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Finding the Fourth Proportional to 893.00, 1,232.10 and 597.75

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Solution

The fourth proportional to 893.00, 1,232.10 and 597.75 is: 824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.00 : 1,232.10 = 597.75 : x
  2. Step 2: Convert to fraction form
    893.00/1,232.10 = 597.75/x
  3. Step 3: Cross multiply
    893.00x = 1,232.10 × 597.75
  4. Step 4: Simplify right side
    893.00x = 736,487.78
  5. Step 5: Solve for x
    x = 736,487.78/893.00
  6. Step 6: Final answer
    x = 824.74

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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.