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Finding the Fourth Proportional to 654.58, 981.82 and 459

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Solution

The fourth proportional to 654.58, 981.82 and 459 is: 688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.58 : 981.82 = 459 : x
  2. Step 2: Convert to fraction form
    654.58/981.82 = 459/x
  3. Step 3: Cross multiply
    654.58x = 981.82 × 459
  4. Step 4: Simplify right side
    654.58x = 450,655.95
  5. Step 5: Solve for x
    x = 450,655.95/654.58
  6. Step 6: Final answer
    x = 688.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.