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Finding the Fourth Proportional to 669.33, 1,002.53 and 552.45

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Solution

The fourth proportional to 669.33, 1,002.53 and 552.45 is: 827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.33 : 1,002.53 = 552.45 : x
  2. Step 2: Convert to fraction form
    669.33/1,002.53 = 552.45/x
  3. Step 3: Cross multiply
    669.33x = 1,002.53 × 552.45
  4. Step 4: Simplify right side
    669.33x = 553,844.94
  5. Step 5: Solve for x
    x = 553,844.94/669.33
  6. Step 6: Final answer
    x = 827.46

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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.