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Finding the Fourth Proportional to 1,134.02, 1,564.87 and 629.90

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Solution

The fourth proportional to 1,134.02, 1,564.87 and 629.90 is: 869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.02 : 1,564.87 = 629.90 : x
  2. Step 2: Convert to fraction form
    1,134.02/1,564.87 = 629.90/x
  3. Step 3: Cross multiply
    1,134.02x = 1,564.87 × 629.90
  4. Step 4: Simplify right side
    1,134.02x = 985,711.61
  5. Step 5: Solve for x
    x = 985,711.61/1,134.02
  6. Step 6: Final answer
    x = 869.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.