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Finding the Fourth Proportional to 834.10, 1,259.64 and 834.10

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Solution

The fourth proportional to 834.10, 1,259.64 and 834.10 is: 1,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.10 : 1,259.64 = 834.10 : x
  2. Step 2: Convert to fraction form
    834.10/1,259.64 = 834.10/x
  3. Step 3: Cross multiply
    834.10x = 1,259.64 × 834.10
  4. Step 4: Simplify right side
    834.10x = 1,050,665.72
  5. Step 5: Solve for x
    x = 1,050,665.72/834.10
  6. Step 6: Final answer
    x = 1,259.64

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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.