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Finding the Fourth Proportional to 1,210.78, 1,811.40 and 964.78

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Solution

The fourth proportional to 1,210.78, 1,811.40 and 964.78 is: 1,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.78 : 1,811.40 = 964.78 : x
  2. Step 2: Convert to fraction form
    1,210.78/1,811.40 = 964.78/x
  3. Step 3: Cross multiply
    1,210.78x = 1,811.40 × 964.78
  4. Step 4: Simplify right side
    1,210.78x = 1,747,602.49
  5. Step 5: Solve for x
    x = 1,747,602.49/1,210.78
  6. Step 6: Final answer
    x = 1,443.37

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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.