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Finding the Fourth Proportional to 1,276.23, 1,913.95 and 410.34

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Solution

The fourth proportional to 1,276.23, 1,913.95 and 410.34 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.23 : 1,913.95 = 410.34 : x
  2. Step 2: Convert to fraction form
    1,276.23/1,913.95 = 410.34/x
  3. Step 3: Cross multiply
    1,276.23x = 1,913.95 × 410.34
  4. Step 4: Simplify right side
    1,276.23x = 785,375.63
  5. Step 5: Solve for x
    x = 785,375.63/1,276.23
  6. Step 6: Final answer
    x = 615.39

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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.