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Finding the Fourth Proportional to 1,215.68, 1,822.16 and 522.88

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Solution

The fourth proportional to 1,215.68, 1,822.16 and 522.88 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.68 : 1,822.16 = 522.88 : x
  2. Step 2: Convert to fraction form
    1,215.68/1,822.16 = 522.88/x
  3. Step 3: Cross multiply
    1,215.68x = 1,822.16 × 522.88
  4. Step 4: Simplify right side
    1,215.68x = 952,771.02
  5. Step 5: Solve for x
    x = 952,771.02/1,215.68
  6. Step 6: Final answer
    x = 783.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.