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Finding the Fourth Proportional to 686.49, 945.30 and 588.03

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Solution

The fourth proportional to 686.49, 945.30 and 588.03 is: 809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.49 : 945.30 = 588.03 : x
  2. Step 2: Convert to fraction form
    686.49/945.30 = 588.03/x
  3. Step 3: Cross multiply
    686.49x = 945.30 × 588.03
  4. Step 4: Simplify right side
    686.49x = 555,864.76
  5. Step 5: Solve for x
    x = 555,864.76/686.49
  6. Step 6: Final answer
    x = 809.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.