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Finding the Fourth Proportional to 1,215.55, 1,823.87 and 435.79

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Solution

The fourth proportional to 1,215.55, 1,823.87 and 435.79 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.55 : 1,823.87 = 435.79 : x
  2. Step 2: Convert to fraction form
    1,215.55/1,823.87 = 435.79/x
  3. Step 3: Cross multiply
    1,215.55x = 1,823.87 × 435.79
  4. Step 4: Simplify right side
    1,215.55x = 794,824.31
  5. Step 5: Solve for x
    x = 794,824.31/1,215.55
  6. Step 6: Final answer
    x = 653.88

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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.