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Finding the Fourth Proportional to 1,072.60, 1,609.02 and 303.16

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Solution

The fourth proportional to 1,072.60, 1,609.02 and 303.16 is: 454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.60 : 1,609.02 = 303.16 : x
  2. Step 2: Convert to fraction form
    1,072.60/1,609.02 = 303.16/x
  3. Step 3: Cross multiply
    1,072.60x = 1,609.02 × 303.16
  4. Step 4: Simplify right side
    1,072.60x = 487,790.50
  5. Step 5: Solve for x
    x = 487,790.50/1,072.60
  6. Step 6: Final answer
    x = 454.77

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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.