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Finding the Fourth Proportional to 853.16, 1,176.99 and 521.60

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Solution

The fourth proportional to 853.16, 1,176.99 and 521.60 is: 719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.16 : 1,176.99 = 521.60 : x
  2. Step 2: Convert to fraction form
    853.16/1,176.99 = 521.60/x
  3. Step 3: Cross multiply
    853.16x = 1,176.99 × 521.60
  4. Step 4: Simplify right side
    853.16x = 613,917.98
  5. Step 5: Solve for x
    x = 613,917.98/853.16
  6. Step 6: Final answer
    x = 719.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.