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Finding the Fourth Proportional to 1,690.53, 2,535.86 and 824.82

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Solution

The fourth proportional to 1,690.53, 2,535.86 and 824.82 is: 1,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.53 : 2,535.86 = 824.82 : x
  2. Step 2: Convert to fraction form
    1,690.53/2,535.86 = 824.82/x
  3. Step 3: Cross multiply
    1,690.53x = 2,535.86 × 824.82
  4. Step 4: Simplify right side
    1,690.53x = 2,091,628.05
  5. Step 5: Solve for x
    x = 2,091,628.05/1,690.53
  6. Step 6: Final answer
    x = 1,237.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.