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Finding the Fourth Proportional to 1,133.57, 1,699.86 and 517.67

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Solution

The fourth proportional to 1,133.57, 1,699.86 and 517.67 is: 776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.57 : 1,699.86 = 517.67 : x
  2. Step 2: Convert to fraction form
    1,133.57/1,699.86 = 517.67/x
  3. Step 3: Cross multiply
    1,133.57x = 1,699.86 × 517.67
  4. Step 4: Simplify right side
    1,133.57x = 879,958.03
  5. Step 5: Solve for x
    x = 879,958.03/1,133.57
  6. Step 6: Final answer
    x = 776.27

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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.