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Finding the Fourth Proportional to 677.33, 1,017.62 and 434.33

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Solution

The fourth proportional to 677.33, 1,017.62 and 434.33 is: 652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.33 : 1,017.62 = 434.33 : x
  2. Step 2: Convert to fraction form
    677.33/1,017.62 = 434.33/x
  3. Step 3: Cross multiply
    677.33x = 1,017.62 × 434.33
  4. Step 4: Simplify right side
    677.33x = 441,982.89
  5. Step 5: Solve for x
    x = 441,982.89/677.33
  6. Step 6: Final answer
    x = 652.54

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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.