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Finding the Fourth Proportional to 982.01, 1,470.72 and 973.73

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Solution

The fourth proportional to 982.01, 1,470.72 and 973.73 is: 1,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.01 : 1,470.72 = 973.73 : x
  2. Step 2: Convert to fraction form
    982.01/1,470.72 = 973.73/x
  3. Step 3: Cross multiply
    982.01x = 1,470.72 × 973.73
  4. Step 4: Simplify right side
    982.01x = 1,432,084.19
  5. Step 5: Solve for x
    x = 1,432,084.19/982.01
  6. Step 6: Final answer
    x = 1,458.32

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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.