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Finding the Fourth Proportional to 1,074.33, 1,612.08 and 831.33

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Solution

The fourth proportional to 1,074.33, 1,612.08 and 831.33 is: 1,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.33 : 1,612.08 = 831.33 : x
  2. Step 2: Convert to fraction form
    1,074.33/1,612.08 = 831.33/x
  3. Step 3: Cross multiply
    1,074.33x = 1,612.08 × 831.33
  4. Step 4: Simplify right side
    1,074.33x = 1,340,170.47
  5. Step 5: Solve for x
    x = 1,340,170.47/1,074.33
  6. Step 6: Final answer
    x = 1,247.45

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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.