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Finding the Fourth Proportional to 860.64, 1,184.67 and 816.90

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Solution

The fourth proportional to 860.64, 1,184.67 and 816.90 is: 1,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.64 : 1,184.67 = 816.90 : x
  2. Step 2: Convert to fraction form
    860.64/1,184.67 = 816.90/x
  3. Step 3: Cross multiply
    860.64x = 1,184.67 × 816.90
  4. Step 4: Simplify right side
    860.64x = 967,756.92
  5. Step 5: Solve for x
    x = 967,756.92/860.64
  6. Step 6: Final answer
    x = 1,124.46

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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.