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Finding the Fourth Proportional to 677.66, 1,014.42 and 434.42

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Solution

The fourth proportional to 677.66, 1,014.42 and 434.42 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 1,014.42 = 434.42 : x
  2. Step 2: Convert to fraction form
    677.66/1,014.42 = 434.42/x
  3. Step 3: Cross multiply
    677.66x = 1,014.42 × 434.42
  4. Step 4: Simplify right side
    677.66x = 440,684.34
  5. Step 5: Solve for x
    x = 440,684.34/677.66
  6. Step 6: Final answer
    x = 650.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.