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Finding the Fourth Proportional to 697.86, 1,047.60 and 659.52

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Solution

The fourth proportional to 697.86, 1,047.60 and 659.52 is: 990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 1,047.60 = 659.52 : x
  2. Step 2: Convert to fraction form
    697.86/1,047.60 = 659.52/x
  3. Step 3: Cross multiply
    697.86x = 1,047.60 × 659.52
  4. Step 4: Simplify right side
    697.86x = 690,913.15
  5. Step 5: Solve for x
    x = 690,913.15/697.86
  6. Step 6: Final answer
    x = 990.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.