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Finding the Fourth Proportional to 670.80, 1,004.88 and 533.88

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Solution

The fourth proportional to 670.80, 1,004.88 and 533.88 is: 799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.80 : 1,004.88 = 533.88 : x
  2. Step 2: Convert to fraction form
    670.80/1,004.88 = 533.88/x
  3. Step 3: Cross multiply
    670.80x = 1,004.88 × 533.88
  4. Step 4: Simplify right side
    670.80x = 536,485.33
  5. Step 5: Solve for x
    x = 536,485.33/670.80
  6. Step 6: Final answer
    x = 799.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.