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Finding the Fourth Proportional to 1,207.49, 1,665.06 and 912.29

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Solution

The fourth proportional to 1,207.49, 1,665.06 and 912.29 is: 1,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.49 : 1,665.06 = 912.29 : x
  2. Step 2: Convert to fraction form
    1,207.49/1,665.06 = 912.29/x
  3. Step 3: Cross multiply
    1,207.49x = 1,665.06 × 912.29
  4. Step 4: Simplify right side
    1,207.49x = 1,519,017.59
  5. Step 5: Solve for x
    x = 1,519,017.59/1,207.49
  6. Step 6: Final answer
    x = 1,258.00

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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.