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Finding the Fourth Proportional to 669.36, 1,002.56 and 522.74

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Solution

The fourth proportional to 669.36, 1,002.56 and 522.74 is: 782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.36 : 1,002.56 = 522.74 : x
  2. Step 2: Convert to fraction form
    669.36/1,002.56 = 522.74/x
  3. Step 3: Cross multiply
    669.36x = 1,002.56 × 522.74
  4. Step 4: Simplify right side
    669.36x = 524,078.21
  5. Step 5: Solve for x
    x = 524,078.21/669.36
  6. Step 6: Final answer
    x = 782.95

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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.