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Finding the Fourth Proportional to 1,192.77, 1,645.08 and 912.30

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Solution

The fourth proportional to 1,192.77, 1,645.08 and 912.30 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.77 : 1,645.08 = 912.30 : x
  2. Step 2: Convert to fraction form
    1,192.77/1,645.08 = 912.30/x
  3. Step 3: Cross multiply
    1,192.77x = 1,645.08 × 912.30
  4. Step 4: Simplify right side
    1,192.77x = 1,500,806.48
  5. Step 5: Solve for x
    x = 1,500,806.48/1,192.77
  6. Step 6: Final answer
    x = 1,258.25

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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.