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Finding the Fourth Proportional to 677.66, 1,016.48 and 434.34

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Solution

The fourth proportional to 677.66, 1,016.48 and 434.34 is: 651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 1,016.48 = 434.34 : x
  2. Step 2: Convert to fraction form
    677.66/1,016.48 = 434.34/x
  3. Step 3: Cross multiply
    677.66x = 1,016.48 × 434.34
  4. Step 4: Simplify right side
    677.66x = 441,495.75
  5. Step 5: Solve for x
    x = 441,495.75/677.66
  6. Step 6: Final answer
    x = 651.51

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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.