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Finding the Fourth Proportional to 1,269.92, 1,746.65 and 1,020.69

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Solution

The fourth proportional to 1,269.92, 1,746.65 and 1,020.69 is: 1,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.92 : 1,746.65 = 1,020.69 : x
  2. Step 2: Convert to fraction form
    1,269.92/1,746.65 = 1,020.69/x
  3. Step 3: Cross multiply
    1,269.92x = 1,746.65 × 1,020.69
  4. Step 4: Simplify right side
    1,269.92x = 1,782,783.09
  5. Step 5: Solve for x
    x = 1,782,783.09/1,269.92
  6. Step 6: Final answer
    x = 1,403.86

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