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Finding the Fourth Proportional to 1,015.94, 1,402.26 and 849.90

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Solution

The fourth proportional to 1,015.94, 1,402.26 and 849.90 is: 1,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.94 : 1,402.26 = 849.90 : x
  2. Step 2: Convert to fraction form
    1,015.94/1,402.26 = 849.90/x
  3. Step 3: Cross multiply
    1,015.94x = 1,402.26 × 849.90
  4. Step 4: Simplify right side
    1,015.94x = 1,191,780.77
  5. Step 5: Solve for x
    x = 1,191,780.77/1,015.94
  6. Step 6: Final answer
    x = 1,173.08

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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.