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Finding the Fourth Proportional to 1,216.03, 1,823.59 and 435.82

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Solution

The fourth proportional to 1,216.03, 1,823.59 and 435.82 is: 653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.03 : 1,823.59 = 435.82 : x
  2. Step 2: Convert to fraction form
    1,216.03/1,823.59 = 435.82/x
  3. Step 3: Cross multiply
    1,216.03x = 1,823.59 × 435.82
  4. Step 4: Simplify right side
    1,216.03x = 794,751.35
  5. Step 5: Solve for x
    x = 794,751.35/1,216.03
  6. Step 6: Final answer
    x = 653.56

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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.