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Finding the Fourth Proportional to 1,269.94, 1,905.96 and 540.06

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Solution

The fourth proportional to 1,269.94, 1,905.96 and 540.06 is: 810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.94 : 1,905.96 = 540.06 : x
  2. Step 2: Convert to fraction form
    1,269.94/1,905.96 = 540.06/x
  3. Step 3: Cross multiply
    1,269.94x = 1,905.96 × 540.06
  4. Step 4: Simplify right side
    1,269.94x = 1,029,332.76
  5. Step 5: Solve for x
    x = 1,029,332.76/1,269.94
  6. Step 6: Final answer
    x = 810.54

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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.