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Finding the Fourth Proportional to 1,269.22, 1,904.10 and 749.74

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Solution

The fourth proportional to 1,269.22, 1,904.10 and 749.74 is: 1,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.22 : 1,904.10 = 749.74 : x
  2. Step 2: Convert to fraction form
    1,269.22/1,904.10 = 749.74/x
  3. Step 3: Cross multiply
    1,269.22x = 1,904.10 × 749.74
  4. Step 4: Simplify right side
    1,269.22x = 1,427,579.93
  5. Step 5: Solve for x
    x = 1,427,579.93/1,269.22
  6. Step 6: Final answer
    x = 1,124.77

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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.