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Finding the Fourth Proportional to 1,029.67, 1,419.86 and 778.17

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Solution

The fourth proportional to 1,029.67, 1,419.86 and 778.17 is: 1,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.67 : 1,419.86 = 778.17 : x
  2. Step 2: Convert to fraction form
    1,029.67/1,419.86 = 778.17/x
  3. Step 3: Cross multiply
    1,029.67x = 1,419.86 × 778.17
  4. Step 4: Simplify right side
    1,029.67x = 1,104,895.35
  5. Step 5: Solve for x
    x = 1,104,895.35/1,029.67
  6. Step 6: Final answer
    x = 1,073.06

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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.