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Finding the Fourth Proportional to 1,217.70, 1,827.49 and 487.75

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Solution

The fourth proportional to 1,217.70, 1,827.49 and 487.75 is: 732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.70 : 1,827.49 = 487.75 : x
  2. Step 2: Convert to fraction form
    1,217.70/1,827.49 = 487.75/x
  3. Step 3: Cross multiply
    1,217.70x = 1,827.49 × 487.75
  4. Step 4: Simplify right side
    1,217.70x = 891,355.81
  5. Step 5: Solve for x
    x = 891,355.81/1,217.70
  6. Step 6: Final answer
    x = 732.00

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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.