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Finding the Fourth Proportional to 1,215.47, 1,823.12 and 474.94

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Solution

The fourth proportional to 1,215.47, 1,823.12 and 474.94 is: 712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.47 : 1,823.12 = 474.94 : x
  2. Step 2: Convert to fraction form
    1,215.47/1,823.12 = 474.94/x
  3. Step 3: Cross multiply
    1,215.47x = 1,823.12 × 474.94
  4. Step 4: Simplify right side
    1,215.47x = 865,872.61
  5. Step 5: Solve for x
    x = 865,872.61/1,215.47
  6. Step 6: Final answer
    x = 712.38

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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.