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Finding the Fourth Proportional to 930.12, 1,283.27 and 597.95

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Solution

The fourth proportional to 930.12, 1,283.27 and 597.95 is: 824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.12 : 1,283.27 = 597.95 : x
  2. Step 2: Convert to fraction form
    930.12/1,283.27 = 597.95/x
  3. Step 3: Cross multiply
    930.12x = 1,283.27 × 597.95
  4. Step 4: Simplify right side
    930.12x = 767,321.89
  5. Step 5: Solve for x
    x = 767,321.89/930.12
  6. Step 6: Final answer
    x = 824.97

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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.