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Finding the Fourth Proportional to 976.15, 1,347.08 and 583.17

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Solution

The fourth proportional to 976.15, 1,347.08 and 583.17 is: 804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.15 : 1,347.08 = 583.17 : x
  2. Step 2: Convert to fraction form
    976.15/1,347.08 = 583.17/x
  3. Step 3: Cross multiply
    976.15x = 1,347.08 × 583.17
  4. Step 4: Simplify right side
    976.15x = 785,578.10
  5. Step 5: Solve for x
    x = 785,578.10/976.15
  6. Step 6: Final answer
    x = 804.77

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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.