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Finding the Fourth Proportional to 1,029.58, 1,420.83 and 625.68

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Solution

The fourth proportional to 1,029.58, 1,420.83 and 625.68 is: 863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.58 : 1,420.83 = 625.68 : x
  2. Step 2: Convert to fraction form
    1,029.58/1,420.83 = 625.68/x
  3. Step 3: Cross multiply
    1,029.58x = 1,420.83 × 625.68
  4. Step 4: Simplify right side
    1,029.58x = 888,984.91
  5. Step 5: Solve for x
    x = 888,984.91/1,029.58
  6. Step 6: Final answer
    x = 863.44

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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.