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Finding the Fourth Proportional to 1,202.77, 1,804.16 and 337.08

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Solution

The fourth proportional to 1,202.77, 1,804.16 and 337.08 is: 505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.77 : 1,804.16 = 337.08 : x
  2. Step 2: Convert to fraction form
    1,202.77/1,804.16 = 337.08/x
  3. Step 3: Cross multiply
    1,202.77x = 1,804.16 × 337.08
  4. Step 4: Simplify right side
    1,202.77x = 608,141.82
  5. Step 5: Solve for x
    x = 608,141.82/1,202.77
  6. Step 6: Final answer
    x = 505.62

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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.