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Finding the Fourth Proportional to 1,434.96, 1,980.20 and 805.43

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Solution

The fourth proportional to 1,434.96, 1,980.20 and 805.43 is: 1,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.96 : 1,980.20 = 805.43 : x
  2. Step 2: Convert to fraction form
    1,434.96/1,980.20 = 805.43/x
  3. Step 3: Cross multiply
    1,434.96x = 1,980.20 × 805.43
  4. Step 4: Simplify right side
    1,434.96x = 1,594,919.45
  5. Step 5: Solve for x
    x = 1,594,919.45/1,434.96
  6. Step 6: Final answer
    x = 1,111.47

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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.