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Finding the Fourth Proportional to 949.84, 1,422.84 and 435.28

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Solution

The fourth proportional to 949.84, 1,422.84 and 435.28 is: 652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.84 : 1,422.84 = 435.28 : x
  2. Step 2: Convert to fraction form
    949.84/1,422.84 = 435.28/x
  3. Step 3: Cross multiply
    949.84x = 1,422.84 × 435.28
  4. Step 4: Simplify right side
    949.84x = 619,333.80
  5. Step 5: Solve for x
    x = 619,333.80/949.84
  6. Step 6: Final answer
    x = 652.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.