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Finding the Fourth Proportional to 1,133.84, 1,699.94 and 517.23

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Solution

The fourth proportional to 1,133.84, 1,699.94 and 517.23 is: 775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.84 : 1,699.94 = 517.23 : x
  2. Step 2: Convert to fraction form
    1,133.84/1,699.94 = 517.23/x
  3. Step 3: Cross multiply
    1,133.84x = 1,699.94 × 517.23
  4. Step 4: Simplify right side
    1,133.84x = 879,257.38
  5. Step 5: Solve for x
    x = 879,257.38/1,133.84
  6. Step 6: Final answer
    x = 775.47

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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.