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Finding the Fourth Proportional to 708.77, 1,063.46 and 383.76

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Solution

The fourth proportional to 708.77, 1,063.46 and 383.76 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.77 : 1,063.46 = 383.76 : x
  2. Step 2: Convert to fraction form
    708.77/1,063.46 = 383.76/x
  3. Step 3: Cross multiply
    708.77x = 1,063.46 × 383.76
  4. Step 4: Simplify right side
    708.77x = 408,111.49
  5. Step 5: Solve for x
    x = 408,111.49/708.77
  6. Step 6: Final answer
    x = 575.81

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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.