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Finding the Fourth Proportional to 1,172.30, 1,758.58 and 306.68

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Solution

The fourth proportional to 1,172.30, 1,758.58 and 306.68 is: 460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.30 : 1,758.58 = 306.68 : x
  2. Step 2: Convert to fraction form
    1,172.30/1,758.58 = 306.68/x
  3. Step 3: Cross multiply
    1,172.30x = 1,758.58 × 306.68
  4. Step 4: Simplify right side
    1,172.30x = 539,321.31
  5. Step 5: Solve for x
    x = 539,321.31/1,172.30
  6. Step 6: Final answer
    x = 460.05

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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.