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Finding the Fourth Proportional to 1,665.33, 2,497.82 and 569.78

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Solution

The fourth proportional to 1,665.33, 2,497.82 and 569.78 is: 854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.33 : 2,497.82 = 569.78 : x
  2. Step 2: Convert to fraction form
    1,665.33/2,497.82 = 569.78/x
  3. Step 3: Cross multiply
    1,665.33x = 2,497.82 × 569.78
  4. Step 4: Simplify right side
    1,665.33x = 1,423,207.88
  5. Step 5: Solve for x
    x = 1,423,207.88/1,665.33
  6. Step 6: Final answer
    x = 854.61

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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.