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Finding the Fourth Proportional to 930.01, 1,394.83 and 467.67

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Solution

The fourth proportional to 930.01, 1,394.83 and 467.67 is: 701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.01 : 1,394.83 = 467.67 : x
  2. Step 2: Convert to fraction form
    930.01/1,394.83 = 467.67/x
  3. Step 3: Cross multiply
    930.01x = 1,394.83 × 467.67
  4. Step 4: Simplify right side
    930.01x = 652,320.15
  5. Step 5: Solve for x
    x = 652,320.15/930.01
  6. Step 6: Final answer
    x = 701.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.