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Finding the Fourth Proportional to 1,409.70, 1,945.38 and 780.24

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Solution

The fourth proportional to 1,409.70, 1,945.38 and 780.24 is: 1,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.70 : 1,945.38 = 780.24 : x
  2. Step 2: Convert to fraction form
    1,409.70/1,945.38 = 780.24/x
  3. Step 3: Cross multiply
    1,409.70x = 1,945.38 × 780.24
  4. Step 4: Simplify right side
    1,409.70x = 1,517,863.29
  5. Step 5: Solve for x
    x = 1,517,863.29/1,409.70
  6. Step 6: Final answer
    x = 1,076.73

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1.5x scale

Why These Related Problems?

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