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Finding the Fourth Proportional to 749.56, 1,122.72 and 364

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Solution

The fourth proportional to 749.56, 1,122.72 and 364 is: 545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.56 : 1,122.72 = 364 : x
  2. Step 2: Convert to fraction form
    749.56/1,122.72 = 364/x
  3. Step 3: Cross multiply
    749.56x = 1,122.72 × 364
  4. Step 4: Simplify right side
    749.56x = 408,670.08
  5. Step 5: Solve for x
    x = 408,670.08/749.56
  6. Step 6: Final answer
    x = 545.21

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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.