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Finding the Fourth Proportional to 851.18, 1,175.32 and 693.84

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Solution

The fourth proportional to 851.18, 1,175.32 and 693.84 is: 958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.18 : 1,175.32 = 693.84 : x
  2. Step 2: Convert to fraction form
    851.18/1,175.32 = 693.84/x
  3. Step 3: Cross multiply
    851.18x = 1,175.32 × 693.84
  4. Step 4: Simplify right side
    851.18x = 815,484.03
  5. Step 5: Solve for x
    x = 815,484.03/851.18
  6. Step 6: Final answer
    x = 958.06

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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.