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Finding the Fourth Proportional to 976.48, 1,347.06 and 583.40

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Solution

The fourth proportional to 976.48, 1,347.06 and 583.40 is: 804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.48 : 1,347.06 = 583.40 : x
  2. Step 2: Convert to fraction form
    976.48/1,347.06 = 583.40/x
  3. Step 3: Cross multiply
    976.48x = 1,347.06 × 583.40
  4. Step 4: Simplify right side
    976.48x = 785,874.80
  5. Step 5: Solve for x
    x = 785,874.80/976.48
  6. Step 6: Final answer
    x = 804.80

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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.