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Finding the Fourth Proportional to 1,664.96, 2,497.68 and 569.48

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Solution

The fourth proportional to 1,664.96, 2,497.68 and 569.48 is: 854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.96 : 2,497.68 = 569.48 : x
  2. Step 2: Convert to fraction form
    1,664.96/2,497.68 = 569.48/x
  3. Step 3: Cross multiply
    1,664.96x = 2,497.68 × 569.48
  4. Step 4: Simplify right side
    1,664.96x = 1,422,378.81
  5. Step 5: Solve for x
    x = 1,422,378.81/1,664.96
  6. Step 6: Final answer
    x = 854.30

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