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Finding the Fourth Proportional to 1,158.54, 1,729.94 and 912.30

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Solution

The fourth proportional to 1,158.54, 1,729.94 and 912.30 is: 1,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.54 : 1,729.94 = 912.30 : x
  2. Step 2: Convert to fraction form
    1,158.54/1,729.94 = 912.30/x
  3. Step 3: Cross multiply
    1,158.54x = 1,729.94 × 912.30
  4. Step 4: Simplify right side
    1,158.54x = 1,578,219.70
  5. Step 5: Solve for x
    x = 1,578,219.70/1,158.54
  6. Step 6: Final answer
    x = 1,362.25

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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.