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Finding the Fourth Proportional to 1,305.36, 1,955.61 and 784.80

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Solution

The fourth proportional to 1,305.36, 1,955.61 and 784.80 is: 1,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.36 : 1,955.61 = 784.80 : x
  2. Step 2: Convert to fraction form
    1,305.36/1,955.61 = 784.80/x
  3. Step 3: Cross multiply
    1,305.36x = 1,955.61 × 784.80
  4. Step 4: Simplify right side
    1,305.36x = 1,534,762.73
  5. Step 5: Solve for x
    x = 1,534,762.73/1,305.36
  6. Step 6: Final answer
    x = 1,175.74

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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.