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Finding the Fourth Proportional to 1,300.95, 1,949.89 and 684.34

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Solution

The fourth proportional to 1,300.95, 1,949.89 and 684.34 is: 1,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.95 : 1,949.89 = 684.34 : x
  2. Step 2: Convert to fraction form
    1,300.95/1,949.89 = 684.34/x
  3. Step 3: Cross multiply
    1,300.95x = 1,949.89 × 684.34
  4. Step 4: Simplify right side
    1,300.95x = 1,334,387.72
  5. Step 5: Solve for x
    x = 1,334,387.72/1,300.95
  6. Step 6: Final answer
    x = 1,025.70

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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.