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Finding the Fourth Proportional to 1,706.46, 2,557.52 and 829.16

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Solution

The fourth proportional to 1,706.46, 2,557.52 and 829.16 is: 1,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.46 : 2,557.52 = 829.16 : x
  2. Step 2: Convert to fraction form
    1,706.46/2,557.52 = 829.16/x
  3. Step 3: Cross multiply
    1,706.46x = 2,557.52 × 829.16
  4. Step 4: Simplify right side
    1,706.46x = 2,120,593.28
  5. Step 5: Solve for x
    x = 2,120,593.28/1,706.46
  6. Step 6: Final answer
    x = 1,242.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.