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Finding the Fourth Proportional to 1,497, 2,065.80 and 833.82

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Solution

The fourth proportional to 1,497, 2,065.80 and 833.82 is: 1,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497 : 2,065.80 = 833.82 : x
  2. Step 2: Convert to fraction form
    1,497/2,065.80 = 833.82/x
  3. Step 3: Cross multiply
    1,497x = 2,065.80 × 833.82
  4. Step 4: Simplify right side
    1,497x = 1,722,505.36
  5. Step 5: Solve for x
    x = 1,722,505.36/1,497
  6. Step 6: Final answer
    x = 1,150.64

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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.