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Finding the Fourth Proportional to 1,420.60, 2,132.63 and 804.73

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Solution

The fourth proportional to 1,420.60, 2,132.63 and 804.73 is: 1,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.60 : 2,132.63 = 804.73 : x
  2. Step 2: Convert to fraction form
    1,420.60/2,132.63 = 804.73/x
  3. Step 3: Cross multiply
    1,420.60x = 2,132.63 × 804.73
  4. Step 4: Simplify right side
    1,420.60x = 1,716,191.34
  5. Step 5: Solve for x
    x = 1,716,191.34/1,420.60
  6. Step 6: Final answer
    x = 1,208.07

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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.