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Finding the Fourth Proportional to 930, 1,282.96 and 598.31

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Solution

The fourth proportional to 930, 1,282.96 and 598.31 is: 825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    930 : 1,282.96 = 598.31 : x
  2. Step 2: Convert to fraction form
    930/1,282.96 = 598.31/x
  3. Step 3: Cross multiply
    930x = 1,282.96 × 598.31
  4. Step 4: Simplify right side
    930x = 767,607.80
  5. Step 5: Solve for x
    x = 767,607.80/930
  6. Step 6: Final answer
    x = 825.38

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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.