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Finding the Fourth Proportional to 1,680.48, 2,519.54 and 790.70

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Solution

The fourth proportional to 1,680.48, 2,519.54 and 790.70 is: 1,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.48 : 2,519.54 = 790.70 : x
  2. Step 2: Convert to fraction form
    1,680.48/2,519.54 = 790.70/x
  3. Step 3: Cross multiply
    1,680.48x = 2,519.54 × 790.70
  4. Step 4: Simplify right side
    1,680.48x = 1,992,200.28
  5. Step 5: Solve for x
    x = 1,992,200.28/1,680.48
  6. Step 6: Final answer
    x = 1,185.49

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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.