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Finding the Fourth Proportional to 1,664.97, 2,497.50 and 569.33

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Solution

The fourth proportional to 1,664.97, 2,497.50 and 569.33 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.97 : 2,497.50 = 569.33 : x
  2. Step 2: Convert to fraction form
    1,664.97/2,497.50 = 569.33/x
  3. Step 3: Cross multiply
    1,664.97x = 2,497.50 × 569.33
  4. Step 4: Simplify right side
    1,664.97x = 1,421,898.55
  5. Step 5: Solve for x
    x = 1,421,898.55/1,664.97
  6. Step 6: Final answer
    x = 854.01

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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.