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Finding the Fourth Proportional to 1,202.48, 1,804.04 and 380.77

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Solution

The fourth proportional to 1,202.48, 1,804.04 and 380.77 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.48 : 1,804.04 = 380.77 : x
  2. Step 2: Convert to fraction form
    1,202.48/1,804.04 = 380.77/x
  3. Step 3: Cross multiply
    1,202.48x = 1,804.04 × 380.77
  4. Step 4: Simplify right side
    1,202.48x = 686,913.39
  5. Step 5: Solve for x
    x = 686,913.39/1,202.48
  6. Step 6: Final answer
    x = 571.25

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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.