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Finding the Fourth Proportional to 1,065.49, 1,595.91 and 516.52

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Solution

The fourth proportional to 1,065.49, 1,595.91 and 516.52 is: 773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.49 : 1,595.91 = 516.52 : x
  2. Step 2: Convert to fraction form
    1,065.49/1,595.91 = 516.52/x
  3. Step 3: Cross multiply
    1,065.49x = 1,595.91 × 516.52
  4. Step 4: Simplify right side
    1,065.49x = 824,323.37
  5. Step 5: Solve for x
    x = 824,323.37/1,065.49
  6. Step 6: Final answer
    x = 773.66

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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.