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Finding the Fourth Proportional to 786.96, 1,086.00 and 437.64

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Solution

The fourth proportional to 786.96, 1,086.00 and 437.64 is: 603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.96 : 1,086.00 = 437.64 : x
  2. Step 2: Convert to fraction form
    786.96/1,086.00 = 437.64/x
  3. Step 3: Cross multiply
    786.96x = 1,086.00 × 437.64
  4. Step 4: Simplify right side
    786.96x = 475,279.43
  5. Step 5: Solve for x
    x = 475,279.43/786.96
  6. Step 6: Final answer
    x = 603.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.