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Finding the Fourth Proportional to 1,172.12, 1,758.14 and 350.40

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Solution

The fourth proportional to 1,172.12, 1,758.14 and 350.40 is: 525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.12 : 1,758.14 = 350.40 : x
  2. Step 2: Convert to fraction form
    1,172.12/1,758.14 = 350.40/x
  3. Step 3: Cross multiply
    1,172.12x = 1,758.14 × 350.40
  4. Step 4: Simplify right side
    1,172.12x = 616,052.26
  5. Step 5: Solve for x
    x = 616,052.26/1,172.12
  6. Step 6: Final answer
    x = 525.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.