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Finding the Fourth Proportional to 1,320.69, 1,980.42 and 773.04

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Solution

The fourth proportional to 1,320.69, 1,980.42 and 773.04 is: 1,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.69 : 1,980.42 = 773.04 : x
  2. Step 2: Convert to fraction form
    1,320.69/1,980.42 = 773.04/x
  3. Step 3: Cross multiply
    1,320.69x = 1,980.42 × 773.04
  4. Step 4: Simplify right side
    1,320.69x = 1,530,943.88
  5. Step 5: Solve for x
    x = 1,530,943.88/1,320.69
  6. Step 6: Final answer
    x = 1,159.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.