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Finding the Fourth Proportional to 976.86, 1,347.97 and 603.59

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Solution

The fourth proportional to 976.86, 1,347.97 and 603.59 is: 832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.86 : 1,347.97 = 603.59 : x
  2. Step 2: Convert to fraction form
    976.86/1,347.97 = 603.59/x
  3. Step 3: Cross multiply
    976.86x = 1,347.97 × 603.59
  4. Step 4: Simplify right side
    976.86x = 813,618.08
  5. Step 5: Solve for x
    x = 813,618.08/976.86
  6. Step 6: Final answer
    x = 832.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.