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Finding the Fourth Proportional to 697.08, 960.86 and 547.46

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Solution

The fourth proportional to 697.08, 960.86 and 547.46 is: 754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 960.86 = 547.46 : x
  2. Step 2: Convert to fraction form
    697.08/960.86 = 547.46/x
  3. Step 3: Cross multiply
    697.08x = 960.86 × 547.46
  4. Step 4: Simplify right side
    697.08x = 526,032.42
  5. Step 5: Solve for x
    x = 526,032.42/697.08
  6. Step 6: Final answer
    x = 754.62

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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.