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Finding the Fourth Proportional to 669.82, 1,005.24 and 540.15

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Solution

The fourth proportional to 669.82, 1,005.24 and 540.15 is: 810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.82 : 1,005.24 = 540.15 : x
  2. Step 2: Convert to fraction form
    669.82/1,005.24 = 540.15/x
  3. Step 3: Cross multiply
    669.82x = 1,005.24 × 540.15
  4. Step 4: Simplify right side
    669.82x = 542,980.39
  5. Step 5: Solve for x
    x = 542,980.39/669.82
  6. Step 6: Final answer
    x = 810.64

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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.