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Finding the Fourth Proportional to 606.82, 903.95 and 588.67

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Solution

The fourth proportional to 606.82, 903.95 and 588.67 is: 876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.82 : 903.95 = 588.67 : x
  2. Step 2: Convert to fraction form
    606.82/903.95 = 588.67/x
  3. Step 3: Cross multiply
    606.82x = 903.95 × 588.67
  4. Step 4: Simplify right side
    606.82x = 532,128.25
  5. Step 5: Solve for x
    x = 532,128.25/606.82
  6. Step 6: Final answer
    x = 876.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.