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Finding the Fourth Proportional to 1,217.55, 1,825.77 and 524.19

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Solution

The fourth proportional to 1,217.55, 1,825.77 and 524.19 is: 786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.55 : 1,825.77 = 524.19 : x
  2. Step 2: Convert to fraction form
    1,217.55/1,825.77 = 524.19/x
  3. Step 3: Cross multiply
    1,217.55x = 1,825.77 × 524.19
  4. Step 4: Simplify right side
    1,217.55x = 957,050.38
  5. Step 5: Solve for x
    x = 957,050.38/1,217.55
  6. Step 6: Final answer
    x = 786.05

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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.