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Finding the Fourth Proportional to 879.77, 1,213.94 and 506.76

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Solution

The fourth proportional to 879.77, 1,213.94 and 506.76 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.77 : 1,213.94 = 506.76 : x
  2. Step 2: Convert to fraction form
    879.77/1,213.94 = 506.76/x
  3. Step 3: Cross multiply
    879.77x = 1,213.94 × 506.76
  4. Step 4: Simplify right side
    879.77x = 615,176.23
  5. Step 5: Solve for x
    x = 615,176.23/879.77
  6. Step 6: Final answer
    x = 699.25

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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.