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Finding the Fourth Proportional to 1,665.42, 2,497.52 and 569.49

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Solution

The fourth proportional to 1,665.42, 2,497.52 and 569.49 is: 854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.42 : 2,497.52 = 569.49 : x
  2. Step 2: Convert to fraction form
    1,665.42/2,497.52 = 569.49/x
  3. Step 3: Cross multiply
    1,665.42x = 2,497.52 × 569.49
  4. Step 4: Simplify right side
    1,665.42x = 1,422,309.82
  5. Step 5: Solve for x
    x = 1,422,309.82/1,665.42
  6. Step 6: Final answer
    x = 854.02

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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.