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Finding the Fourth Proportional to 1,056.69, 1,584.90 and 276.75

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Solution

The fourth proportional to 1,056.69, 1,584.90 and 276.75 is: 415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.69 : 1,584.90 = 276.75 : x
  2. Step 2: Convert to fraction form
    1,056.69/1,584.90 = 276.75/x
  3. Step 3: Cross multiply
    1,056.69x = 1,584.90 × 276.75
  4. Step 4: Simplify right side
    1,056.69x = 438,621.08
  5. Step 5: Solve for x
    x = 438,621.08/1,056.69
  6. Step 6: Final answer
    x = 415.09

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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.