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Finding the Fourth Proportional to 1,276.19, 1,914.30 and 617.93

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Solution

The fourth proportional to 1,276.19, 1,914.30 and 617.93 is: 926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.19 : 1,914.30 = 617.93 : x
  2. Step 2: Convert to fraction form
    1,276.19/1,914.30 = 617.93/x
  3. Step 3: Cross multiply
    1,276.19x = 1,914.30 × 617.93
  4. Step 4: Simplify right side
    1,276.19x = 1,182,901.01
  5. Step 5: Solve for x
    x = 1,182,901.01/1,276.19
  6. Step 6: Final answer
    x = 926.90

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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.