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Finding the Fourth Proportional to 1,434.69, 1,980.24 and 845.41

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Solution

The fourth proportional to 1,434.69, 1,980.24 and 845.41 is: 1,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.69 : 1,980.24 = 845.41 : x
  2. Step 2: Convert to fraction form
    1,434.69/1,980.24 = 845.41/x
  3. Step 3: Cross multiply
    1,434.69x = 1,980.24 × 845.41
  4. Step 4: Simplify right side
    1,434.69x = 1,674,114.70
  5. Step 5: Solve for x
    x = 1,674,114.70/1,434.69
  6. Step 6: Final answer
    x = 1,166.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.