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Finding the Fourth Proportional to 1,210.82, 1,662.86 and 1,013.99

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Solution

The fourth proportional to 1,210.82, 1,662.86 and 1,013.99 is: 1,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.82 : 1,662.86 = 1,013.99 : x
  2. Step 2: Convert to fraction form
    1,210.82/1,662.86 = 1,013.99/x
  3. Step 3: Cross multiply
    1,210.82x = 1,662.86 × 1,013.99
  4. Step 4: Simplify right side
    1,210.82x = 1,686,117.63
  5. Step 5: Solve for x
    x = 1,686,117.63/1,210.82
  6. Step 6: Final answer
    x = 1,392.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.