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Finding the Fourth Proportional to 1,202.76, 1,804.28 and 337.10

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Solution

The fourth proportional to 1,202.76, 1,804.28 and 337.10 is: 505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.76 : 1,804.28 = 337.10 : x
  2. Step 2: Convert to fraction form
    1,202.76/1,804.28 = 337.10/x
  3. Step 3: Cross multiply
    1,202.76x = 1,804.28 × 337.10
  4. Step 4: Simplify right side
    1,202.76x = 608,212.08
  5. Step 5: Solve for x
    x = 608,212.08/1,202.76
  6. Step 6: Final answer
    x = 505.68

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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.