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Finding the Fourth Proportional to 1,214.96, 1,675.76 and 841.95

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Solution

The fourth proportional to 1,214.96, 1,675.76 and 841.95 is: 1,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.96 : 1,675.76 = 841.95 : x
  2. Step 2: Convert to fraction form
    1,214.96/1,675.76 = 841.95/x
  3. Step 3: Cross multiply
    1,214.96x = 1,675.76 × 841.95
  4. Step 4: Simplify right side
    1,214.96x = 1,410,901.92
  5. Step 5: Solve for x
    x = 1,410,901.92/1,214.96
  6. Step 6: Final answer
    x = 1,161.28

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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.