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Finding the Fourth Proportional to 651.83, 977.80 and 189.61

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Solution

The fourth proportional to 651.83, 977.80 and 189.61 is: 284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.83 : 977.80 = 189.61 : x
  2. Step 2: Convert to fraction form
    651.83/977.80 = 189.61/x
  3. Step 3: Cross multiply
    651.83x = 977.80 × 189.61
  4. Step 4: Simplify right side
    651.83x = 185,398.63
  5. Step 5: Solve for x
    x = 185,398.63/651.83
  6. Step 6: Final answer
    x = 284.43

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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.