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Finding the Fourth Proportional to 1,076.29, 1,485.80 and 722.08

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Solution

The fourth proportional to 1,076.29, 1,485.80 and 722.08 is: 996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.29 : 1,485.80 = 722.08 : x
  2. Step 2: Convert to fraction form
    1,076.29/1,485.80 = 722.08/x
  3. Step 3: Cross multiply
    1,076.29x = 1,485.80 × 722.08
  4. Step 4: Simplify right side
    1,076.29x = 1,072,866.46
  5. Step 5: Solve for x
    x = 1,072,866.46/1,076.29
  6. Step 6: Final answer
    x = 996.82

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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.