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Finding the Fourth Proportional to 1,283.05, 1,924.69 and 940.65

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Solution

The fourth proportional to 1,283.05, 1,924.69 and 940.65 is: 1,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.05 : 1,924.69 = 940.65 : x
  2. Step 2: Convert to fraction form
    1,283.05/1,924.69 = 940.65/x
  3. Step 3: Cross multiply
    1,283.05x = 1,924.69 × 940.65
  4. Step 4: Simplify right side
    1,283.05x = 1,810,459.65
  5. Step 5: Solve for x
    x = 1,810,459.65/1,283.05
  6. Step 6: Final answer
    x = 1,411.06

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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.