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Finding the Fourth Proportional to 976.12, 1,346.90 and 577.80

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Solution

The fourth proportional to 976.12, 1,346.90 and 577.80 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,346.90 = 577.80 : x
  2. Step 2: Convert to fraction form
    976.12/1,346.90 = 577.80/x
  3. Step 3: Cross multiply
    976.12x = 1,346.90 × 577.80
  4. Step 4: Simplify right side
    976.12x = 778,235.93
  5. Step 5: Solve for x
    x = 778,235.93/976.12
  6. Step 6: Final answer
    x = 797.28

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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.