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Finding the Fourth Proportional to 930.17, 1,283.19 and 598.43

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Solution

The fourth proportional to 930.17, 1,283.19 and 598.43 is: 825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.17 : 1,283.19 = 598.43 : x
  2. Step 2: Convert to fraction form
    930.17/1,283.19 = 598.43/x
  3. Step 3: Cross multiply
    930.17x = 1,283.19 × 598.43
  4. Step 4: Simplify right side
    930.17x = 767,899.39
  5. Step 5: Solve for x
    x = 767,899.39/930.17
  6. Step 6: Final answer
    x = 825.55

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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.