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Finding the Fourth Proportional to 860.43, 1,295.30 and 783.89

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Solution

The fourth proportional to 860.43, 1,295.30 and 783.89 is: 1,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.43 : 1,295.30 = 783.89 : x
  2. Step 2: Convert to fraction form
    860.43/1,295.30 = 783.89/x
  3. Step 3: Cross multiply
    860.43x = 1,295.30 × 783.89
  4. Step 4: Simplify right side
    860.43x = 1,015,372.72
  5. Step 5: Solve for x
    x = 1,015,372.72/860.43
  6. Step 6: Final answer
    x = 1,180.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.