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Finding the Fourth Proportional to 909.19, 1,252.92 and 646.75

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Solution

The fourth proportional to 909.19, 1,252.92 and 646.75 is: 891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.19 : 1,252.92 = 646.75 : x
  2. Step 2: Convert to fraction form
    909.19/1,252.92 = 646.75/x
  3. Step 3: Cross multiply
    909.19x = 1,252.92 × 646.75
  4. Step 4: Simplify right side
    909.19x = 810,330.00
  5. Step 5: Solve for x
    x = 810,330.00/909.19
  6. Step 6: Final answer
    x = 891.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.