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Finding the Fourth Proportional to 863.10, 1,210.50 and 863.10

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Solution

The fourth proportional to 863.10, 1,210.50 and 863.10 is: 1,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.10 : 1,210.50 = 863.10 : x
  2. Step 2: Convert to fraction form
    863.10/1,210.50 = 863.10/x
  3. Step 3: Cross multiply
    863.10x = 1,210.50 × 863.10
  4. Step 4: Simplify right side
    863.10x = 1,044,782.55
  5. Step 5: Solve for x
    x = 1,044,782.55/863.10
  6. Step 6: Final answer
    x = 1,210.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.