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Finding the Fourth Proportional to 890.01, 1,228.14 and 516.85

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Solution

The fourth proportional to 890.01, 1,228.14 and 516.85 is: 713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.01 : 1,228.14 = 516.85 : x
  2. Step 2: Convert to fraction form
    890.01/1,228.14 = 516.85/x
  3. Step 3: Cross multiply
    890.01x = 1,228.14 × 516.85
  4. Step 4: Simplify right side
    890.01x = 634,762.23
  5. Step 5: Solve for x
    x = 634,762.23/890.01
  6. Step 6: Final answer
    x = 713.21

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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.