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Finding the Fourth Proportional to 1,202.38, 1,803.64 and 508.36

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Solution

The fourth proportional to 1,202.38, 1,803.64 and 508.36 is: 762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.38 : 1,803.64 = 508.36 : x
  2. Step 2: Convert to fraction form
    1,202.38/1,803.64 = 508.36/x
  3. Step 3: Cross multiply
    1,202.38x = 1,803.64 × 508.36
  4. Step 4: Simplify right side
    1,202.38x = 916,898.43
  5. Step 5: Solve for x
    x = 916,898.43/1,202.38
  6. Step 6: Final answer
    x = 762.57

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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.