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Finding the Fourth Proportional to 1,690.48, 2,533.02 and 823.24

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Solution

The fourth proportional to 1,690.48, 2,533.02 and 823.24 is: 1,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.48 : 2,533.02 = 823.24 : x
  2. Step 2: Convert to fraction form
    1,690.48/2,533.02 = 823.24/x
  3. Step 3: Cross multiply
    1,690.48x = 2,533.02 × 823.24
  4. Step 4: Simplify right side
    1,690.48x = 2,085,283.38
  5. Step 5: Solve for x
    x = 2,085,283.38/1,690.48
  6. Step 6: Final answer
    x = 1,233.55

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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.