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Finding the Fourth Proportional to 1,086.99, 1,501.02 and 820.96

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Solution

The fourth proportional to 1,086.99, 1,501.02 and 820.96 is: 1,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.99 : 1,501.02 = 820.96 : x
  2. Step 2: Convert to fraction form
    1,086.99/1,501.02 = 820.96/x
  3. Step 3: Cross multiply
    1,086.99x = 1,501.02 × 820.96
  4. Step 4: Simplify right side
    1,086.99x = 1,232,277.38
  5. Step 5: Solve for x
    x = 1,232,277.38/1,086.99
  6. Step 6: Final answer
    x = 1,133.66

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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.