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Finding the Fourth Proportional to 1,664.70, 2,497.32 and 569.13

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Solution

The fourth proportional to 1,664.70, 2,497.32 and 569.13 is: 853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.70 : 2,497.32 = 569.13 : x
  2. Step 2: Convert to fraction form
    1,664.70/2,497.32 = 569.13/x
  3. Step 3: Cross multiply
    1,664.70x = 2,497.32 × 569.13
  4. Step 4: Simplify right side
    1,664.70x = 1,421,299.73
  5. Step 5: Solve for x
    x = 1,421,299.73/1,664.70
  6. Step 6: Final answer
    x = 853.79

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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.