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Finding the Fourth Proportional to 1,010.69, 1,393.04 and 771.34

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Solution

The fourth proportional to 1,010.69, 1,393.04 and 771.34 is: 1,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.69 : 1,393.04 = 771.34 : x
  2. Step 2: Convert to fraction form
    1,010.69/1,393.04 = 771.34/x
  3. Step 3: Cross multiply
    1,010.69x = 1,393.04 × 771.34
  4. Step 4: Simplify right side
    1,010.69x = 1,074,505.92
  5. Step 5: Solve for x
    x = 1,074,505.92/1,010.69
  6. Step 6: Final answer
    x = 1,063.14

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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.