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Finding the Fourth Proportional to 1,153.33, 1,591.71 and 711.17

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Solution

The fourth proportional to 1,153.33, 1,591.71 and 711.17 is: 981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.33 : 1,591.71 = 711.17 : x
  2. Step 2: Convert to fraction form
    1,153.33/1,591.71 = 711.17/x
  3. Step 3: Cross multiply
    1,153.33x = 1,591.71 × 711.17
  4. Step 4: Simplify right side
    1,153.33x = 1,131,976.40
  5. Step 5: Solve for x
    x = 1,131,976.40/1,153.33
  6. Step 6: Final answer
    x = 981.49

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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.