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Finding the Fourth Proportional to 1,293.28, 1,938.24 and 522.88

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Solution

The fourth proportional to 1,293.28, 1,938.24 and 522.88 is: 783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.28 : 1,938.24 = 522.88 : x
  2. Step 2: Convert to fraction form
    1,293.28/1,938.24 = 522.88/x
  3. Step 3: Cross multiply
    1,293.28x = 1,938.24 × 522.88
  4. Step 4: Simplify right side
    1,293.28x = 1,013,466.93
  5. Step 5: Solve for x
    x = 1,013,466.93/1,293.28
  6. Step 6: Final answer
    x = 783.64

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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.