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Finding the Fourth Proportional to 1,489.67, 2,055.96 and 900.29

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Solution

The fourth proportional to 1,489.67, 2,055.96 and 900.29 is: 1,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.67 : 2,055.96 = 900.29 : x
  2. Step 2: Convert to fraction form
    1,489.67/2,055.96 = 900.29/x
  3. Step 3: Cross multiply
    1,489.67x = 2,055.96 × 900.29
  4. Step 4: Simplify right side
    1,489.67x = 1,850,960.23
  5. Step 5: Solve for x
    x = 1,850,960.23/1,489.67
  6. Step 6: Final answer
    x = 1,242.53

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Why These Related Problems?

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