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Finding the Fourth Proportional to 1,133.02, 1,699.60 and 516.76

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Solution

The fourth proportional to 1,133.02, 1,699.60 and 516.76 is: 775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.02 : 1,699.60 = 516.76 : x
  2. Step 2: Convert to fraction form
    1,133.02/1,699.60 = 516.76/x
  3. Step 3: Cross multiply
    1,133.02x = 1,699.60 × 516.76
  4. Step 4: Simplify right side
    1,133.02x = 878,285.30
  5. Step 5: Solve for x
    x = 878,285.30/1,133.02
  6. Step 6: Final answer
    x = 775.17

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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.