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Finding the Fourth Proportional to 1,040.86, 1,436.79 and 709.46

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Solution

The fourth proportional to 1,040.86, 1,436.79 and 709.46 is: 979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.86 : 1,436.79 = 709.46 : x
  2. Step 2: Convert to fraction form
    1,040.86/1,436.79 = 709.46/x
  3. Step 3: Cross multiply
    1,040.86x = 1,436.79 × 709.46
  4. Step 4: Simplify right side
    1,040.86x = 1,019,349.99
  5. Step 5: Solve for x
    x = 1,019,349.99/1,040.86
  6. Step 6: Final answer
    x = 979.34

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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.