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Finding the Fourth Proportional to 1,178.10, 1,765.26 and 831.60

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Solution

The fourth proportional to 1,178.10, 1,765.26 and 831.60 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.10 : 1,765.26 = 831.60 : x
  2. Step 2: Convert to fraction form
    1,178.10/1,765.26 = 831.60/x
  3. Step 3: Cross multiply
    1,178.10x = 1,765.26 × 831.60
  4. Step 4: Simplify right side
    1,178.10x = 1,467,990.22
  5. Step 5: Solve for x
    x = 1,467,990.22/1,178.10
  6. Step 6: Final answer
    x = 1,246.07

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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.