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Finding the Fourth Proportional to 1,217.37, 1,680.12 and 693.48

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Solution

The fourth proportional to 1,217.37, 1,680.12 and 693.48 is: 957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.37 : 1,680.12 = 693.48 : x
  2. Step 2: Convert to fraction form
    1,217.37/1,680.12 = 693.48/x
  3. Step 3: Cross multiply
    1,217.37x = 1,680.12 × 693.48
  4. Step 4: Simplify right side
    1,217.37x = 1,165,132.08
  5. Step 5: Solve for x
    x = 1,165,132.08/1,217.37
  6. Step 6: Final answer
    x = 957.09

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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.