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Finding the Fourth Proportional to 1,153.67, 1,592.07 and 629.71

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Solution

The fourth proportional to 1,153.67, 1,592.07 and 629.71 is: 869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.67 : 1,592.07 = 629.71 : x
  2. Step 2: Convert to fraction form
    1,153.67/1,592.07 = 629.71/x
  3. Step 3: Cross multiply
    1,153.67x = 1,592.07 × 629.71
  4. Step 4: Simplify right side
    1,153.67x = 1,002,534.44
  5. Step 5: Solve for x
    x = 1,002,534.44/1,153.67
  6. Step 6: Final answer
    x = 869.00

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