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Finding the Fourth Proportional to 870.65, 1,201.53 and 516.48

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Solution

The fourth proportional to 870.65, 1,201.53 and 516.48 is: 712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.65 : 1,201.53 = 516.48 : x
  2. Step 2: Convert to fraction form
    870.65/1,201.53 = 516.48/x
  3. Step 3: Cross multiply
    870.65x = 1,201.53 × 516.48
  4. Step 4: Simplify right side
    870.65x = 620,563.65
  5. Step 5: Solve for x
    x = 620,563.65/870.65
  6. Step 6: Final answer
    x = 712.76

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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.