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Finding the Fourth Proportional to 1,172.57, 1,618.14 and 648.59

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Solution

The fourth proportional to 1,172.57, 1,618.14 and 648.59 is: 895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.57 : 1,618.14 = 648.59 : x
  2. Step 2: Convert to fraction form
    1,172.57/1,618.14 = 648.59/x
  3. Step 3: Cross multiply
    1,172.57x = 1,618.14 × 648.59
  4. Step 4: Simplify right side
    1,172.57x = 1,049,509.42
  5. Step 5: Solve for x
    x = 1,049,509.42/1,172.57
  6. Step 6: Final answer
    x = 895.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.