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Finding the Fourth Proportional to 1,215.84, 1,823.28 and 522.56

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Solution

The fourth proportional to 1,215.84, 1,823.28 and 522.56 is: 783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.84 : 1,823.28 = 522.56 : x
  2. Step 2: Convert to fraction form
    1,215.84/1,823.28 = 522.56/x
  3. Step 3: Cross multiply
    1,215.84x = 1,823.28 × 522.56
  4. Step 4: Simplify right side
    1,215.84x = 952,773.20
  5. Step 5: Solve for x
    x = 952,773.20/1,215.84
  6. Step 6: Final answer
    x = 783.63

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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.