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Finding the Fourth Proportional to 930.67, 1,283.58 and 824.44

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Solution

The fourth proportional to 930.67, 1,283.58 and 824.44 is: 1,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.67 : 1,283.58 = 824.44 : x
  2. Step 2: Convert to fraction form
    930.67/1,283.58 = 824.44/x
  3. Step 3: Cross multiply
    930.67x = 1,283.58 × 824.44
  4. Step 4: Simplify right side
    930.67x = 1,058,234.70
  5. Step 5: Solve for x
    x = 1,058,234.70/930.67
  6. Step 6: Final answer
    x = 1,137.07

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1.5x scale

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.