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Finding the Fourth Proportional to 853.52, 1,175.58 and 695.86

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Solution

The fourth proportional to 853.52, 1,175.58 and 695.86 is: 958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.52 : 1,175.58 = 695.86 : x
  2. Step 2: Convert to fraction form
    853.52/1,175.58 = 695.86/x
  3. Step 3: Cross multiply
    853.52x = 1,175.58 × 695.86
  4. Step 4: Simplify right side
    853.52x = 818,036.16
  5. Step 5: Solve for x
    x = 818,036.16/853.52
  6. Step 6: Final answer
    x = 958.43

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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.