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Finding the Fourth Proportional to 688.86, 1,035.33 and 606.84

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Solution

The fourth proportional to 688.86, 1,035.33 and 606.84 is: 912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.86 : 1,035.33 = 606.84 : x
  2. Step 2: Convert to fraction form
    688.86/1,035.33 = 606.84/x
  3. Step 3: Cross multiply
    688.86x = 1,035.33 × 606.84
  4. Step 4: Simplify right side
    688.86x = 628,279.66
  5. Step 5: Solve for x
    x = 628,279.66/688.86
  6. Step 6: Final answer
    x = 912.06

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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.