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Finding the Fourth Proportional to 1,089.42, 1,631.35 and 723.07

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Solution

The fourth proportional to 1,089.42, 1,631.35 and 723.07 is: 1,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.42 : 1,631.35 = 723.07 : x
  2. Step 2: Convert to fraction form
    1,089.42/1,631.35 = 723.07/x
  3. Step 3: Cross multiply
    1,089.42x = 1,631.35 × 723.07
  4. Step 4: Simplify right side
    1,089.42x = 1,179,580.24
  5. Step 5: Solve for x
    x = 1,179,580.24/1,089.42
  6. Step 6: Final answer
    x = 1,082.76

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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.