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Finding the Fourth Proportional to 749.08, 1,123.62 and 364

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Solution

The fourth proportional to 749.08, 1,123.62 and 364 is: 546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.08 : 1,123.62 = 364 : x
  2. Step 2: Convert to fraction form
    749.08/1,123.62 = 364/x
  3. Step 3: Cross multiply
    749.08x = 1,123.62 × 364
  4. Step 4: Simplify right side
    749.08x = 408,997.68
  5. Step 5: Solve for x
    x = 408,997.68/749.08
  6. Step 6: Final answer
    x = 546.00

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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.