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Finding the Fourth Proportional to 1,089.08, 1,632.56 and 697.98

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Solution

The fourth proportional to 1,089.08, 1,632.56 and 697.98 is: 1,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.08 : 1,632.56 = 697.98 : x
  2. Step 2: Convert to fraction form
    1,089.08/1,632.56 = 697.98/x
  3. Step 3: Cross multiply
    1,089.08x = 1,632.56 × 697.98
  4. Step 4: Simplify right side
    1,089.08x = 1,139,494.23
  5. Step 5: Solve for x
    x = 1,139,494.23/1,089.08
  6. Step 6: Final answer
    x = 1,046.30

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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.