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Finding the Fourth Proportional to 708.60, 1,063.51 and 276.06

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Solution

The fourth proportional to 708.60, 1,063.51 and 276.06 is: 414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.60 : 1,063.51 = 276.06 : x
  2. Step 2: Convert to fraction form
    708.60/1,063.51 = 276.06/x
  3. Step 3: Cross multiply
    708.60x = 1,063.51 × 276.06
  4. Step 4: Simplify right side
    708.60x = 293,592.57
  5. Step 5: Solve for x
    x = 293,592.57/708.60
  6. Step 6: Final answer
    x = 414.33

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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.