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Finding the Fourth Proportional to 1,214.04, 1,674.04 and 918.76

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Solution

The fourth proportional to 1,214.04, 1,674.04 and 918.76 is: 1,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.04 : 1,674.04 = 918.76 : x
  2. Step 2: Convert to fraction form
    1,214.04/1,674.04 = 918.76/x
  3. Step 3: Cross multiply
    1,214.04x = 1,674.04 × 918.76
  4. Step 4: Simplify right side
    1,214.04x = 1,538,040.99
  5. Step 5: Solve for x
    x = 1,538,040.99/1,214.04
  6. Step 6: Final answer
    x = 1,266.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.