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Finding the Fourth Proportional to 669.08, 1,002.16 and 552.20

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Solution

The fourth proportional to 669.08, 1,002.16 and 552.20 is: 827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.08 : 1,002.16 = 552.20 : x
  2. Step 2: Convert to fraction form
    669.08/1,002.16 = 552.20/x
  3. Step 3: Cross multiply
    669.08x = 1,002.16 × 552.20
  4. Step 4: Simplify right side
    669.08x = 553,392.75
  5. Step 5: Solve for x
    x = 553,392.75/669.08
  6. Step 6: Final answer
    x = 827.10

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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.