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Finding the Fourth Proportional to 1,123.08, 1,549.83 and 651.05

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Solution

The fourth proportional to 1,123.08, 1,549.83 and 651.05 is: 898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.08 : 1,549.83 = 651.05 : x
  2. Step 2: Convert to fraction form
    1,123.08/1,549.83 = 651.05/x
  3. Step 3: Cross multiply
    1,123.08x = 1,549.83 × 651.05
  4. Step 4: Simplify right side
    1,123.08x = 1,009,016.82
  5. Step 5: Solve for x
    x = 1,009,016.82/1,123.08
  6. Step 6: Final answer
    x = 898.44

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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.