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Finding the Fourth Proportional to 1,217.54, 1,680.28 and 693.56

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Solution

The fourth proportional to 1,217.54, 1,680.28 and 693.56 is: 957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.54 : 1,680.28 = 693.56 : x
  2. Step 2: Convert to fraction form
    1,217.54/1,680.28 = 693.56/x
  3. Step 3: Cross multiply
    1,217.54x = 1,680.28 × 693.56
  4. Step 4: Simplify right side
    1,217.54x = 1,165,377.46
  5. Step 5: Solve for x
    x = 1,165,377.46/1,217.54
  6. Step 6: Final answer
    x = 957.16

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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.