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Finding the Fourth Proportional to 1,173.29, 1,619.45 and 780.17

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Solution

The fourth proportional to 1,173.29, 1,619.45 and 780.17 is: 1,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.29 : 1,619.45 = 780.17 : x
  2. Step 2: Convert to fraction form
    1,173.29/1,619.45 = 780.17/x
  3. Step 3: Cross multiply
    1,173.29x = 1,619.45 × 780.17
  4. Step 4: Simplify right side
    1,173.29x = 1,263,440.16
  5. Step 5: Solve for x
    x = 1,263,440.16/1,173.29
  6. Step 6: Final answer
    x = 1,076.84

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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.