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Finding the Fourth Proportional to 1,217.46, 1,824.72 and 476.40

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Solution

The fourth proportional to 1,217.46, 1,824.72 and 476.40 is: 714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.46 : 1,824.72 = 476.40 : x
  2. Step 2: Convert to fraction form
    1,217.46/1,824.72 = 476.40/x
  3. Step 3: Cross multiply
    1,217.46x = 1,824.72 × 476.40
  4. Step 4: Simplify right side
    1,217.46x = 869,296.61
  5. Step 5: Solve for x
    x = 869,296.61/1,217.46
  6. Step 6: Final answer
    x = 714.02

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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.