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Finding the Fourth Proportional to 1,376.68, 2,066.33 and 855.10

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Solution

The fourth proportional to 1,376.68, 2,066.33 and 855.10 is: 1,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.68 : 2,066.33 = 855.10 : x
  2. Step 2: Convert to fraction form
    1,376.68/2,066.33 = 855.10/x
  3. Step 3: Cross multiply
    1,376.68x = 2,066.33 × 855.10
  4. Step 4: Simplify right side
    1,376.68x = 1,766,914.51
  5. Step 5: Solve for x
    x = 1,766,914.51/1,376.68
  6. Step 6: Final answer
    x = 1,283.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.