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Finding the Fourth Proportional to 1,167.66, 1,750.41 and 436.68

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Solution

The fourth proportional to 1,167.66, 1,750.41 and 436.68 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.66 : 1,750.41 = 436.68 : x
  2. Step 2: Convert to fraction form
    1,167.66/1,750.41 = 436.68/x
  3. Step 3: Cross multiply
    1,167.66x = 1,750.41 × 436.68
  4. Step 4: Simplify right side
    1,167.66x = 764,369.04
  5. Step 5: Solve for x
    x = 764,369.04/1,167.66
  6. Step 6: Final answer
    x = 654.62

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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.