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Finding the Fourth Proportional to 853.53, 1,280.63 and 690.51

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Solution

The fourth proportional to 853.53, 1,280.63 and 690.51 is: 1,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.53 : 1,280.63 = 690.51 : x
  2. Step 2: Convert to fraction form
    853.53/1,280.63 = 690.51/x
  3. Step 3: Cross multiply
    853.53x = 1,280.63 × 690.51
  4. Step 4: Simplify right side
    853.53x = 884,284.37
  5. Step 5: Solve for x
    x = 884,284.37/853.53
  6. Step 6: Final answer
    x = 1,036.03

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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.