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Finding the Fourth Proportional to 1,033.79, 1,548.86 and 920.79

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Solution

The fourth proportional to 1,033.79, 1,548.86 and 920.79 is: 1,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.79 : 1,548.86 = 920.79 : x
  2. Step 2: Convert to fraction form
    1,033.79/1,548.86 = 920.79/x
  3. Step 3: Cross multiply
    1,033.79x = 1,548.86 × 920.79
  4. Step 4: Simplify right side
    1,033.79x = 1,426,170.20
  5. Step 5: Solve for x
    x = 1,426,170.20/1,033.79
  6. Step 6: Final answer
    x = 1,379.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.