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Finding the Fourth Proportional to 1,016.74, 1,403.67 and 750.97

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Solution

The fourth proportional to 1,016.74, 1,403.67 and 750.97 is: 1,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.74 : 1,403.67 = 750.97 : x
  2. Step 2: Convert to fraction form
    1,016.74/1,403.67 = 750.97/x
  3. Step 3: Cross multiply
    1,016.74x = 1,403.67 × 750.97
  4. Step 4: Simplify right side
    1,016.74x = 1,054,114.06
  5. Step 5: Solve for x
    x = 1,054,114.06/1,016.74
  6. Step 6: Final answer
    x = 1,036.76

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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.