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Finding the Fourth Proportional to 876.36, 1,210.86 and 678

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Solution

The fourth proportional to 876.36, 1,210.86 and 678 is: 936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.36 : 1,210.86 = 678 : x
  2. Step 2: Convert to fraction form
    876.36/1,210.86 = 678/x
  3. Step 3: Cross multiply
    876.36x = 1,210.86 × 678
  4. Step 4: Simplify right side
    876.36x = 820,963.08
  5. Step 5: Solve for x
    x = 820,963.08/876.36
  6. Step 6: Final answer
    x = 936.79

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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.