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Finding the Fourth Proportional to 1,223.01, 1,685.07 and 829.35

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Solution

The fourth proportional to 1,223.01, 1,685.07 and 829.35 is: 1,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.01 : 1,685.07 = 829.35 : x
  2. Step 2: Convert to fraction form
    1,223.01/1,685.07 = 829.35/x
  3. Step 3: Cross multiply
    1,223.01x = 1,685.07 × 829.35
  4. Step 4: Simplify right side
    1,223.01x = 1,397,512.80
  5. Step 5: Solve for x
    x = 1,397,512.80/1,223.01
  6. Step 6: Final answer
    x = 1,142.68

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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.