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Finding the Fourth Proportional to 1,026.11, 1,416.02 and 571.88

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Solution

The fourth proportional to 1,026.11, 1,416.02 and 571.88 is: 789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.11 : 1,416.02 = 571.88 : x
  2. Step 2: Convert to fraction form
    1,026.11/1,416.02 = 571.88/x
  3. Step 3: Cross multiply
    1,026.11x = 1,416.02 × 571.88
  4. Step 4: Simplify right side
    1,026.11x = 809,783.58
  5. Step 5: Solve for x
    x = 809,783.58/1,026.11
  6. Step 6: Final answer
    x = 789.18

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Why These Related Problems?

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