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Finding the Fourth Proportional to 768.56, 1,060.76 and 506.68

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Solution

The fourth proportional to 768.56, 1,060.76 and 506.68 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.56 : 1,060.76 = 506.68 : x
  2. Step 2: Convert to fraction form
    768.56/1,060.76 = 506.68/x
  3. Step 3: Cross multiply
    768.56x = 1,060.76 × 506.68
  4. Step 4: Simplify right side
    768.56x = 537,465.88
  5. Step 5: Solve for x
    x = 537,465.88/768.56
  6. Step 6: Final answer
    x = 699.32

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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.