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Finding the Fourth Proportional to 883.74, 1,325.16 and 472.80

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Solution

The fourth proportional to 883.74, 1,325.16 and 472.80 is: 708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,325.16 = 472.80 : x
  2. Step 2: Convert to fraction form
    883.74/1,325.16 = 472.80/x
  3. Step 3: Cross multiply
    883.74x = 1,325.16 × 472.80
  4. Step 4: Simplify right side
    883.74x = 626,535.65
  5. Step 5: Solve for x
    x = 626,535.65/883.74
  6. Step 6: Final answer
    x = 708.96

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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.