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Finding the Fourth Proportional to 674.59, 1,009.65 and 476.54

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Solution

The fourth proportional to 674.59, 1,009.65 and 476.54 is: 713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.59 : 1,009.65 = 476.54 : x
  2. Step 2: Convert to fraction form
    674.59/1,009.65 = 476.54/x
  3. Step 3: Cross multiply
    674.59x = 1,009.65 × 476.54
  4. Step 4: Simplify right side
    674.59x = 481,138.61
  5. Step 5: Solve for x
    x = 481,138.61/674.59
  6. Step 6: Final answer
    x = 713.23

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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.