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Finding the Fourth Proportional to 930.34, 1,402.81 and 823.42

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Solution

The fourth proportional to 930.34, 1,402.81 and 823.42 is: 1,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.34 : 1,402.81 = 823.42 : x
  2. Step 2: Convert to fraction form
    930.34/1,402.81 = 823.42/x
  3. Step 3: Cross multiply
    930.34x = 1,402.81 × 823.42
  4. Step 4: Simplify right side
    930.34x = 1,155,101.81
  5. Step 5: Solve for x
    x = 1,155,101.81/930.34
  6. Step 6: Final answer
    x = 1,241.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.