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Finding the Fourth Proportional to 1,123.16, 1,682.37 and 712.08

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Solution

The fourth proportional to 1,123.16, 1,682.37 and 712.08 is: 1,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.16 : 1,682.37 = 712.08 : x
  2. Step 2: Convert to fraction form
    1,123.16/1,682.37 = 712.08/x
  3. Step 3: Cross multiply
    1,123.16x = 1,682.37 × 712.08
  4. Step 4: Simplify right side
    1,123.16x = 1,197,982.03
  5. Step 5: Solve for x
    x = 1,197,982.03/1,123.16
  6. Step 6: Final answer
    x = 1,066.62

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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.