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Finding the Fourth Proportional to 894.12, 1,233.63 and 515.94

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Solution

The fourth proportional to 894.12, 1,233.63 and 515.94 is: 711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.12 : 1,233.63 = 515.94 : x
  2. Step 2: Convert to fraction form
    894.12/1,233.63 = 515.94/x
  3. Step 3: Cross multiply
    894.12x = 1,233.63 × 515.94
  4. Step 4: Simplify right side
    894.12x = 636,479.06
  5. Step 5: Solve for x
    x = 636,479.06/894.12
  6. Step 6: Final answer
    x = 711.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.