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Finding the Fourth Proportional to 1,269.72, 1,904.10 and 539.64

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Solution

The fourth proportional to 1,269.72, 1,904.10 and 539.64 is: 809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.72 : 1,904.10 = 539.64 : x
  2. Step 2: Convert to fraction form
    1,269.72/1,904.10 = 539.64/x
  3. Step 3: Cross multiply
    1,269.72x = 1,904.10 × 539.64
  4. Step 4: Simplify right side
    1,269.72x = 1,027,528.52
  5. Step 5: Solve for x
    x = 1,027,528.52/1,269.72
  6. Step 6: Final answer
    x = 809.26

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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.