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Finding the Fourth Proportional to 909.03, 1,254.27 and 628.82

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Solution

The fourth proportional to 909.03, 1,254.27 and 628.82 is: 867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.03 : 1,254.27 = 628.82 : x
  2. Step 2: Convert to fraction form
    909.03/1,254.27 = 628.82/x
  3. Step 3: Cross multiply
    909.03x = 1,254.27 × 628.82
  4. Step 4: Simplify right side
    909.03x = 788,710.85
  5. Step 5: Solve for x
    x = 788,710.85/909.03
  6. Step 6: Final answer
    x = 867.64

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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.