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Finding the Fourth Proportional to 1,284.43, 1,925.53 and 625.39

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Solution

The fourth proportional to 1,284.43, 1,925.53 and 625.39 is: 937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.43 : 1,925.53 = 625.39 : x
  2. Step 2: Convert to fraction form
    1,284.43/1,925.53 = 625.39/x
  3. Step 3: Cross multiply
    1,284.43x = 1,925.53 × 625.39
  4. Step 4: Simplify right side
    1,284.43x = 1,204,208.00
  5. Step 5: Solve for x
    x = 1,204,208.00/1,284.43
  6. Step 6: Final answer
    x = 937.54

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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.