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Finding the Fourth Proportional to 1,118.74, 1,672.23 and 971.32

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Solution

The fourth proportional to 1,118.74, 1,672.23 and 971.32 is: 1,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.74 : 1,672.23 = 971.32 : x
  2. Step 2: Convert to fraction form
    1,118.74/1,672.23 = 971.32/x
  3. Step 3: Cross multiply
    1,118.74x = 1,672.23 × 971.32
  4. Step 4: Simplify right side
    1,118.74x = 1,624,270.44
  5. Step 5: Solve for x
    x = 1,624,270.44/1,118.74
  6. Step 6: Final answer
    x = 1,451.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.