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Finding the Fourth Proportional to 669.16, 1,002.80 and 523.08

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Solution

The fourth proportional to 669.16, 1,002.80 and 523.08 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.16 : 1,002.80 = 523.08 : x
  2. Step 2: Convert to fraction form
    669.16/1,002.80 = 523.08/x
  3. Step 3: Cross multiply
    669.16x = 1,002.80 × 523.08
  4. Step 4: Simplify right side
    669.16x = 524,544.62
  5. Step 5: Solve for x
    x = 524,544.62/669.16
  6. Step 6: Final answer
    x = 783.89

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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.