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Finding the Fourth Proportional to 677.68, 1,020.22 and 462.64

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Solution

The fourth proportional to 677.68, 1,020.22 and 462.64 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.68 : 1,020.22 = 462.64 : x
  2. Step 2: Convert to fraction form
    677.68/1,020.22 = 462.64/x
  3. Step 3: Cross multiply
    677.68x = 1,020.22 × 462.64
  4. Step 4: Simplify right side
    677.68x = 471,994.58
  5. Step 5: Solve for x
    x = 471,994.58/677.68
  6. Step 6: Final answer
    x = 696.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.