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Finding the Fourth Proportional to 1,123.06, 1,551.34 and 1,018.27

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Solution

The fourth proportional to 1,123.06, 1,551.34 and 1,018.27 is: 1,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.06 : 1,551.34 = 1,018.27 : x
  2. Step 2: Convert to fraction form
    1,123.06/1,551.34 = 1,018.27/x
  3. Step 3: Cross multiply
    1,123.06x = 1,551.34 × 1,018.27
  4. Step 4: Simplify right side
    1,123.06x = 1,579,670.13
  5. Step 5: Solve for x
    x = 1,579,670.13/1,123.06
  6. Step 6: Final answer
    x = 1,406.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.