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Finding the Fourth Proportional to 1,134.09, 1,700.32 and 517.47

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Solution

The fourth proportional to 1,134.09, 1,700.32 and 517.47 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.09 : 1,700.32 = 517.47 : x
  2. Step 2: Convert to fraction form
    1,134.09/1,700.32 = 517.47/x
  3. Step 3: Cross multiply
    1,134.09x = 1,700.32 × 517.47
  4. Step 4: Simplify right side
    1,134.09x = 879,864.59
  5. Step 5: Solve for x
    x = 879,864.59/1,134.09
  6. Step 6: Final answer
    x = 775.83

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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.