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Finding the Fourth Proportional to 1,215.22, 1,823.02 and 630.04

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Solution

The fourth proportional to 1,215.22, 1,823.02 and 630.04 is: 945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.22 : 1,823.02 = 630.04 : x
  2. Step 2: Convert to fraction form
    1,215.22/1,823.02 = 630.04/x
  3. Step 3: Cross multiply
    1,215.22x = 1,823.02 × 630.04
  4. Step 4: Simplify right side
    1,215.22x = 1,148,575.52
  5. Step 5: Solve for x
    x = 1,148,575.52/1,215.22
  6. Step 6: Final answer
    x = 945.16

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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.