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Finding the Fourth Proportional to 669.86, 923.52 and 549.78

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Solution

The fourth proportional to 669.86, 923.52 and 549.78 is: 757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.86 : 923.52 = 549.78 : x
  2. Step 2: Convert to fraction form
    669.86/923.52 = 549.78/x
  3. Step 3: Cross multiply
    669.86x = 923.52 × 549.78
  4. Step 4: Simplify right side
    669.86x = 507,730.93
  5. Step 5: Solve for x
    x = 507,730.93/669.86
  6. Step 6: Final answer
    x = 757.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.