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Finding the Fourth Proportional to 976.68, 1,347.90 and 603.57

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Solution

The fourth proportional to 976.68, 1,347.90 and 603.57 is: 832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,347.90 = 603.57 : x
  2. Step 2: Convert to fraction form
    976.68/1,347.90 = 603.57/x
  3. Step 3: Cross multiply
    976.68x = 1,347.90 × 603.57
  4. Step 4: Simplify right side
    976.68x = 813,552.00
  5. Step 5: Solve for x
    x = 813,552.00/976.68
  6. Step 6: Final answer
    x = 832.98

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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.