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Finding the Fourth Proportional to 708.86, 1,063.02 and 215.17

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Solution

The fourth proportional to 708.86, 1,063.02 and 215.17 is: 322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.86 : 1,063.02 = 215.17 : x
  2. Step 2: Convert to fraction form
    708.86/1,063.02 = 215.17/x
  3. Step 3: Cross multiply
    708.86x = 1,063.02 × 215.17
  4. Step 4: Simplify right side
    708.86x = 228,728.16
  5. Step 5: Solve for x
    x = 228,728.16/708.86
  6. Step 6: Final answer
    x = 322.67

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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.