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Finding the Fourth Proportional to 1,123.37, 1,680.55 and 970.94

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Solution

The fourth proportional to 1,123.37, 1,680.55 and 970.94 is: 1,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.37 : 1,680.55 = 970.94 : x
  2. Step 2: Convert to fraction form
    1,123.37/1,680.55 = 970.94/x
  3. Step 3: Cross multiply
    1,123.37x = 1,680.55 × 970.94
  4. Step 4: Simplify right side
    1,123.37x = 1,631,705.54
  5. Step 5: Solve for x
    x = 1,631,705.54/1,123.37
  6. Step 6: Final answer
    x = 1,452.51

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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.