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Finding the Fourth Proportional to 976.54, 1,347.30 and 603.40

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Solution

The fourth proportional to 976.54, 1,347.30 and 603.40 is: 832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.54 : 1,347.30 = 603.40 : x
  2. Step 2: Convert to fraction form
    976.54/1,347.30 = 603.40/x
  3. Step 3: Cross multiply
    976.54x = 1,347.30 × 603.40
  4. Step 4: Simplify right side
    976.54x = 812,960.82
  5. Step 5: Solve for x
    x = 812,960.82/976.54
  6. Step 6: Final answer
    x = 832.49

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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.