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Finding the Fourth Proportional to 930.56, 1,283.36 and 598.56

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Solution

The fourth proportional to 930.56, 1,283.36 and 598.56 is: 825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.56 : 1,283.36 = 598.56 : x
  2. Step 2: Convert to fraction form
    930.56/1,283.36 = 598.56/x
  3. Step 3: Cross multiply
    930.56x = 1,283.36 × 598.56
  4. Step 4: Simplify right side
    930.56x = 768,167.96
  5. Step 5: Solve for x
    x = 768,167.96/930.56
  6. Step 6: Final answer
    x = 825.49

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