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Finding the Fourth Proportional to 652.82, 978.14 and 459.50

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Solution

The fourth proportional to 652.82, 978.14 and 459.50 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.82 : 978.14 = 459.50 : x
  2. Step 2: Convert to fraction form
    652.82/978.14 = 459.50/x
  3. Step 3: Cross multiply
    652.82x = 978.14 × 459.50
  4. Step 4: Simplify right side
    652.82x = 449,455.33
  5. Step 5: Solve for x
    x = 449,455.33/652.82
  6. Step 6: Final answer
    x = 688.48

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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.