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Finding the Fourth Proportional to 859.02, 1,176.38 and 853.98

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Solution

The fourth proportional to 859.02, 1,176.38 and 853.98 is: 1,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.02 : 1,176.38 = 853.98 : x
  2. Step 2: Convert to fraction form
    859.02/1,176.38 = 853.98/x
  3. Step 3: Cross multiply
    859.02x = 1,176.38 × 853.98
  4. Step 4: Simplify right side
    859.02x = 1,004,600.72
  5. Step 5: Solve for x
    x = 1,004,600.72/859.02
  6. Step 6: Final answer
    x = 1,169.47

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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.