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Finding the Fourth Proportional to 1,665.46, 2,497.34 and 569.52

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Solution

The fourth proportional to 1,665.46, 2,497.34 and 569.52 is: 853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.46 : 2,497.34 = 569.52 : x
  2. Step 2: Convert to fraction form
    1,665.46/2,497.34 = 569.52/x
  3. Step 3: Cross multiply
    1,665.46x = 2,497.34 × 569.52
  4. Step 4: Simplify right side
    1,665.46x = 1,422,285.08
  5. Step 5: Solve for x
    x = 1,422,285.08/1,665.46
  6. Step 6: Final answer
    x = 853.99

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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.