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Finding the Fourth Proportional to 976.58, 1,347.70 and 583.60

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Solution

The fourth proportional to 976.58, 1,347.70 and 583.60 is: 805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.58 : 1,347.70 = 583.60 : x
  2. Step 2: Convert to fraction form
    976.58/1,347.70 = 583.60/x
  3. Step 3: Cross multiply
    976.58x = 1,347.70 × 583.60
  4. Step 4: Simplify right side
    976.58x = 786,517.72
  5. Step 5: Solve for x
    x = 786,517.72/976.58
  6. Step 6: Final answer
    x = 805.38

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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.