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Finding the Fourth Proportional to 1,217.68, 1,827.12 and 568.46

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Solution

The fourth proportional to 1,217.68, 1,827.12 and 568.46 is: 852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.68 : 1,827.12 = 568.46 : x
  2. Step 2: Convert to fraction form
    1,217.68/1,827.12 = 568.46/x
  3. Step 3: Cross multiply
    1,217.68x = 1,827.12 × 568.46
  4. Step 4: Simplify right side
    1,217.68x = 1,038,644.64
  5. Step 5: Solve for x
    x = 1,038,644.64/1,217.68
  6. Step 6: Final answer
    x = 852.97

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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.