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Finding the Fourth Proportional to 894.98, 1,235.16 and 516.93

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Solution

The fourth proportional to 894.98, 1,235.16 and 516.93 is: 713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.98 : 1,235.16 = 516.93 : x
  2. Step 2: Convert to fraction form
    894.98/1,235.16 = 516.93/x
  3. Step 3: Cross multiply
    894.98x = 1,235.16 × 516.93
  4. Step 4: Simplify right side
    894.98x = 638,491.26
  5. Step 5: Solve for x
    x = 638,491.26/894.98
  6. Step 6: Final answer
    x = 713.42

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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.