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Finding the Fourth Proportional to 1,405.47, 1,939.51 and 775.98

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Solution

The fourth proportional to 1,405.47, 1,939.51 and 775.98 is: 1,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.47 : 1,939.51 = 775.98 : x
  2. Step 2: Convert to fraction form
    1,405.47/1,939.51 = 775.98/x
  3. Step 3: Cross multiply
    1,405.47x = 1,939.51 × 775.98
  4. Step 4: Simplify right side
    1,405.47x = 1,505,020.97
  5. Step 5: Solve for x
    x = 1,505,020.97/1,405.47
  6. Step 6: Final answer
    x = 1,070.83

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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.