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Finding the Fourth Proportional to 1,864.41, 2,796.70 and 477.75

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Solution

The fourth proportional to 1,864.41, 2,796.70 and 477.75 is: 716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.41 : 2,796.70 = 477.75 : x
  2. Step 2: Convert to fraction form
    1,864.41/2,796.70 = 477.75/x
  3. Step 3: Cross multiply
    1,864.41x = 2,796.70 × 477.75
  4. Step 4: Simplify right side
    1,864.41x = 1,336,123.43
  5. Step 5: Solve for x
    x = 1,336,123.43/1,864.41
  6. Step 6: Final answer
    x = 716.65

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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.