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Finding the Fourth Proportional to 1,016.64, 1,402.89 and 574.58

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Solution

The fourth proportional to 1,016.64, 1,402.89 and 574.58 is: 792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.64 : 1,402.89 = 574.58 : x
  2. Step 2: Convert to fraction form
    1,016.64/1,402.89 = 574.58/x
  3. Step 3: Cross multiply
    1,016.64x = 1,402.89 × 574.58
  4. Step 4: Simplify right side
    1,016.64x = 806,073.89
  5. Step 5: Solve for x
    x = 806,073.89/1,016.64
  6. Step 6: Final answer
    x = 792.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.