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Finding the Fourth Proportional to 1,217.02, 1,825.32 and 436.85

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Solution

The fourth proportional to 1,217.02, 1,825.32 and 436.85 is: 655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.02 : 1,825.32 = 436.85 : x
  2. Step 2: Convert to fraction form
    1,217.02/1,825.32 = 436.85/x
  3. Step 3: Cross multiply
    1,217.02x = 1,825.32 × 436.85
  4. Step 4: Simplify right side
    1,217.02x = 797,391.04
  5. Step 5: Solve for x
    x = 797,391.04/1,217.02
  6. Step 6: Final answer
    x = 655.20

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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.