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Finding the Fourth Proportional to 750.68, 1,126.04 and 202.86

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Solution

The fourth proportional to 750.68, 1,126.04 and 202.86 is: 304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.68 : 1,126.04 = 202.86 : x
  2. Step 2: Convert to fraction form
    750.68/1,126.04 = 202.86/x
  3. Step 3: Cross multiply
    750.68x = 1,126.04 × 202.86
  4. Step 4: Simplify right side
    750.68x = 228,428.47
  5. Step 5: Solve for x
    x = 228,428.47/750.68
  6. Step 6: Final answer
    x = 304.30

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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.