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Finding the Fourth Proportional to 1,215.14, 1,823.25 and 637.88

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Solution

The fourth proportional to 1,215.14, 1,823.25 and 637.88 is: 957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.14 : 1,823.25 = 637.88 : x
  2. Step 2: Convert to fraction form
    1,215.14/1,823.25 = 637.88/x
  3. Step 3: Cross multiply
    1,215.14x = 1,823.25 × 637.88
  4. Step 4: Simplify right side
    1,215.14x = 1,163,005.59
  5. Step 5: Solve for x
    x = 1,163,005.59/1,215.14
  6. Step 6: Final answer
    x = 957.10

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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.