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Finding the Fourth Proportional to 976.30, 1,347.32 and 603.50

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Solution

The fourth proportional to 976.30, 1,347.32 and 603.50 is: 832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.30 : 1,347.32 = 603.50 : x
  2. Step 2: Convert to fraction form
    976.30/1,347.32 = 603.50/x
  3. Step 3: Cross multiply
    976.30x = 1,347.32 × 603.50
  4. Step 4: Simplify right side
    976.30x = 813,107.62
  5. Step 5: Solve for x
    x = 813,107.62/976.30
  6. Step 6: Final answer
    x = 832.85

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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.