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Finding the Fourth Proportional to 976.52, 1,464.95 and 429.09

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Solution

The fourth proportional to 976.52, 1,464.95 and 429.09 is: 643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.52 : 1,464.95 = 429.09 : x
  2. Step 2: Convert to fraction form
    976.52/1,464.95 = 429.09/x
  3. Step 3: Cross multiply
    976.52x = 1,464.95 × 429.09
  4. Step 4: Simplify right side
    976.52x = 628,589.37
  5. Step 5: Solve for x
    x = 628,589.37/976.52
  6. Step 6: Final answer
    x = 643.70

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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.