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Finding the Fourth Proportional to 1,164.98, 1,740.39 and 833.28

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Solution

The fourth proportional to 1,164.98, 1,740.39 and 833.28 is: 1,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.98 : 1,740.39 = 833.28 : x
  2. Step 2: Convert to fraction form
    1,164.98/1,740.39 = 833.28/x
  3. Step 3: Cross multiply
    1,164.98x = 1,740.39 × 833.28
  4. Step 4: Simplify right side
    1,164.98x = 1,450,232.18
  5. Step 5: Solve for x
    x = 1,450,232.18/1,164.98
  6. Step 6: Final answer
    x = 1,244.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.