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Finding the Fourth Proportional to 1,790.46, 2,685.33 and 816.35

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Solution

The fourth proportional to 1,790.46, 2,685.33 and 816.35 is: 1,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.46 : 2,685.33 = 816.35 : x
  2. Step 2: Convert to fraction form
    1,790.46/2,685.33 = 816.35/x
  3. Step 3: Cross multiply
    1,790.46x = 2,685.33 × 816.35
  4. Step 4: Simplify right side
    1,790.46x = 2,192,155.72
  5. Step 5: Solve for x
    x = 2,192,155.72/1,790.46
  6. Step 6: Final answer
    x = 1,224.35

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1.5x scale

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.