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Finding the Fourth Proportional to 976.03, 1,346.91 and 533.95

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Solution

The fourth proportional to 976.03, 1,346.91 and 533.95 is: 736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.03 : 1,346.91 = 533.95 : x
  2. Step 2: Convert to fraction form
    976.03/1,346.91 = 533.95/x
  3. Step 3: Cross multiply
    976.03x = 1,346.91 × 533.95
  4. Step 4: Simplify right side
    976.03x = 719,182.59
  5. Step 5: Solve for x
    x = 719,182.59/976.03
  6. Step 6: Final answer
    x = 736.84

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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.