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Finding the Fourth Proportional to 1,202.58, 1,803.87 and 380.93

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Solution

The fourth proportional to 1,202.58, 1,803.87 and 380.93 is: 571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.58 : 1,803.87 = 380.93 : x
  2. Step 2: Convert to fraction form
    1,202.58/1,803.87 = 380.93/x
  3. Step 3: Cross multiply
    1,202.58x = 1,803.87 × 380.93
  4. Step 4: Simplify right side
    1,202.58x = 687,139.18
  5. Step 5: Solve for x
    x = 687,139.18/1,202.58
  6. Step 6: Final answer
    x = 571.39

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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.