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Finding the Fourth Proportional to 652.86, 978.62 and 262.86

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Solution

The fourth proportional to 652.86, 978.62 and 262.86 is: 394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.86 : 978.62 = 262.86 : x
  2. Step 2: Convert to fraction form
    652.86/978.62 = 262.86/x
  3. Step 3: Cross multiply
    652.86x = 978.62 × 262.86
  4. Step 4: Simplify right side
    652.86x = 257,238.74
  5. Step 5: Solve for x
    x = 257,238.74/652.86
  6. Step 6: Final answer
    x = 394.02

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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.