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Finding the Fourth Proportional to 1,172.25, 1,758.42 and 306.63

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Solution

The fourth proportional to 1,172.25, 1,758.42 and 306.63 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.25 : 1,758.42 = 306.63 : x
  2. Step 2: Convert to fraction form
    1,172.25/1,758.42 = 306.63/x
  3. Step 3: Cross multiply
    1,172.25x = 1,758.42 × 306.63
  4. Step 4: Simplify right side
    1,172.25x = 539,184.32
  5. Step 5: Solve for x
    x = 539,184.32/1,172.25
  6. Step 6: Final answer
    x = 459.96

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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.