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Finding the Fourth Proportional to 1,116.52, 1,674.88 and 629.30

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Solution

The fourth proportional to 1,116.52, 1,674.88 and 629.30 is: 944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.52 : 1,674.88 = 629.30 : x
  2. Step 2: Convert to fraction form
    1,116.52/1,674.88 = 629.30/x
  3. Step 3: Cross multiply
    1,116.52x = 1,674.88 × 629.30
  4. Step 4: Simplify right side
    1,116.52x = 1,054,004.60
  5. Step 5: Solve for x
    x = 1,054,004.60/1,116.52
  6. Step 6: Final answer
    x = 944.01

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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.