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Finding the Fourth Proportional to 982.34, 1,473.51 and 467.78

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Solution

The fourth proportional to 982.34, 1,473.51 and 467.78 is: 701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.34 : 1,473.51 = 467.78 : x
  2. Step 2: Convert to fraction form
    982.34/1,473.51 = 467.78/x
  3. Step 3: Cross multiply
    982.34x = 1,473.51 × 467.78
  4. Step 4: Simplify right side
    982.34x = 689,278.51
  5. Step 5: Solve for x
    x = 689,278.51/982.34
  6. Step 6: Final answer
    x = 701.67

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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.