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Finding the Fourth Proportional to 1,435.30, 1,980.67 and 797.24

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Solution

The fourth proportional to 1,435.30, 1,980.67 and 797.24 is: 1,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.30 : 1,980.67 = 797.24 : x
  2. Step 2: Convert to fraction form
    1,435.30/1,980.67 = 797.24/x
  3. Step 3: Cross multiply
    1,435.30x = 1,980.67 × 797.24
  4. Step 4: Simplify right side
    1,435.30x = 1,579,069.35
  5. Step 5: Solve for x
    x = 1,579,069.35/1,435.30
  6. Step 6: Final answer
    x = 1,100.17

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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.