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Finding the Fourth Proportional to 1,254.10, 1,880.56 and 376.27

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Solution

The fourth proportional to 1,254.10, 1,880.56 and 376.27 is: 564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.10 : 1,880.56 = 376.27 : x
  2. Step 2: Convert to fraction form
    1,254.10/1,880.56 = 376.27/x
  3. Step 3: Cross multiply
    1,254.10x = 1,880.56 × 376.27
  4. Step 4: Simplify right side
    1,254.10x = 707,598.31
  5. Step 5: Solve for x
    x = 707,598.31/1,254.10
  6. Step 6: Final answer
    x = 564.23

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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.