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Finding the Fourth Proportional to 1,276.14, 1,914.38 and 398.70

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Solution

The fourth proportional to 1,276.14, 1,914.38 and 398.70 is: 598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.14 : 1,914.38 = 398.70 : x
  2. Step 2: Convert to fraction form
    1,276.14/1,914.38 = 398.70/x
  3. Step 3: Cross multiply
    1,276.14x = 1,914.38 × 398.70
  4. Step 4: Simplify right side
    1,276.14x = 763,263.31
  5. Step 5: Solve for x
    x = 763,263.31/1,276.14
  6. Step 6: Final answer
    x = 598.10

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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.