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Finding the Fourth Proportional to 651.91, 977.84 and 189.68

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Solution

The fourth proportional to 651.91, 977.84 and 189.68 is: 284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.91 : 977.84 = 189.68 : x
  2. Step 2: Convert to fraction form
    651.91/977.84 = 189.68/x
  3. Step 3: Cross multiply
    651.91x = 977.84 × 189.68
  4. Step 4: Simplify right side
    651.91x = 185,475.74
  5. Step 5: Solve for x
    x = 185,475.74/651.91
  6. Step 6: Final answer
    x = 284.51

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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.