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Finding the Fourth Proportional to 1,476.23, 2,213.82 and 435.95

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Solution

The fourth proportional to 1,476.23, 2,213.82 and 435.95 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.23 : 2,213.82 = 435.95 : x
  2. Step 2: Convert to fraction form
    1,476.23/2,213.82 = 435.95/x
  3. Step 3: Cross multiply
    1,476.23x = 2,213.82 × 435.95
  4. Step 4: Simplify right side
    1,476.23x = 965,115.67
  5. Step 5: Solve for x
    x = 965,115.67/1,476.23
  6. Step 6: Final answer
    x = 653.77

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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.