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Finding the Fourth Proportional to 1,016.07, 1,402.17 and 574.05

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Solution

The fourth proportional to 1,016.07, 1,402.17 and 574.05 is: 792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.07 : 1,402.17 = 574.05 : x
  2. Step 2: Convert to fraction form
    1,016.07/1,402.17 = 574.05/x
  3. Step 3: Cross multiply
    1,016.07x = 1,402.17 × 574.05
  4. Step 4: Simplify right side
    1,016.07x = 804,915.69
  5. Step 5: Solve for x
    x = 804,915.69/1,016.07
  6. Step 6: Final answer
    x = 792.19

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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.