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Finding the Fourth Proportional to 893.52, 1,232.76 and 598.68

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Solution

The fourth proportional to 893.52, 1,232.76 and 598.68 is: 825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.52 : 1,232.76 = 598.68 : x
  2. Step 2: Convert to fraction form
    893.52/1,232.76 = 598.68/x
  3. Step 3: Cross multiply
    893.52x = 1,232.76 × 598.68
  4. Step 4: Simplify right side
    893.52x = 738,028.76
  5. Step 5: Solve for x
    x = 738,028.76/893.52
  6. Step 6: Final answer
    x = 825.98

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Double scale
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1.5x scale

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.