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Finding the Fourth Proportional to 976.31, 1,346.75 and 577.83

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Solution

The fourth proportional to 976.31, 1,346.75 and 577.83 is: 797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.31 : 1,346.75 = 577.83 : x
  2. Step 2: Convert to fraction form
    976.31/1,346.75 = 577.83/x
  3. Step 3: Cross multiply
    976.31x = 1,346.75 × 577.83
  4. Step 4: Simplify right side
    976.31x = 778,189.66
  5. Step 5: Solve for x
    x = 778,189.66/976.31
  6. Step 6: Final answer
    x = 797.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.