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Finding the Fourth Proportional to 930.02, 1,282.75 and 598.78

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Solution

The fourth proportional to 930.02, 1,282.75 and 598.78 is: 825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.02 : 1,282.75 = 598.78 : x
  2. Step 2: Convert to fraction form
    930.02/1,282.75 = 598.78/x
  3. Step 3: Cross multiply
    930.02x = 1,282.75 × 598.78
  4. Step 4: Simplify right side
    930.02x = 768,085.05
  5. Step 5: Solve for x
    x = 768,085.05/930.02
  6. Step 6: Final answer
    x = 825.88

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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.