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Finding the Fourth Proportional to 749.80, 1,124.76 and 202

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Solution

The fourth proportional to 749.80, 1,124.76 and 202 is: 303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.80 : 1,124.76 = 202 : x
  2. Step 2: Convert to fraction form
    749.80/1,124.76 = 202/x
  3. Step 3: Cross multiply
    749.80x = 1,124.76 × 202
  4. Step 4: Simplify right side
    749.80x = 227,201.52
  5. Step 5: Solve for x
    x = 227,201.52/749.80
  6. Step 6: Final answer
    x = 303.02

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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.