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Finding the Fourth Proportional to 1,276.18, 1,914.54 and 410.48

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Solution

The fourth proportional to 1,276.18, 1,914.54 and 410.48 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.18 : 1,914.54 = 410.48 : x
  2. Step 2: Convert to fraction form
    1,276.18/1,914.54 = 410.48/x
  3. Step 3: Cross multiply
    1,276.18x = 1,914.54 × 410.48
  4. Step 4: Simplify right side
    1,276.18x = 785,880.38
  5. Step 5: Solve for x
    x = 785,880.38/1,276.18
  6. Step 6: Final answer
    x = 615.81

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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.