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Finding the Fourth Proportional to 1,294.32, 1,786.32 and 770.34

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Solution

The fourth proportional to 1,294.32, 1,786.32 and 770.34 is: 1,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.32 : 1,786.32 = 770.34 : x
  2. Step 2: Convert to fraction form
    1,294.32/1,786.32 = 770.34/x
  3. Step 3: Cross multiply
    1,294.32x = 1,786.32 × 770.34
  4. Step 4: Simplify right side
    1,294.32x = 1,376,073.75
  5. Step 5: Solve for x
    x = 1,376,073.75/1,294.32
  6. Step 6: Final answer
    x = 1,063.16

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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.