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Finding the Fourth Proportional to 1,179.50, 1,768.03 and 631.53

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Solution

The fourth proportional to 1,179.50, 1,768.03 and 631.53 is: 946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.50 : 1,768.03 = 631.53 : x
  2. Step 2: Convert to fraction form
    1,179.50/1,768.03 = 631.53/x
  3. Step 3: Cross multiply
    1,179.50x = 1,768.03 × 631.53
  4. Step 4: Simplify right side
    1,179.50x = 1,116,562.41
  5. Step 5: Solve for x
    x = 1,116,562.41/1,179.50
  6. Step 6: Final answer
    x = 946.64

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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.