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Finding the Fourth Proportional to 1,524.32, 2,103.55 and 825.69

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Solution

The fourth proportional to 1,524.32, 2,103.55 and 825.69 is: 1,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.32 : 2,103.55 = 825.69 : x
  2. Step 2: Convert to fraction form
    1,524.32/2,103.55 = 825.69/x
  3. Step 3: Cross multiply
    1,524.32x = 2,103.55 × 825.69
  4. Step 4: Simplify right side
    1,524.32x = 1,736,880.20
  5. Step 5: Solve for x
    x = 1,736,880.20/1,524.32
  6. Step 6: Final answer
    x = 1,139.45

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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.