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Finding the Fourth Proportional to 1,172.57, 1,617.84 and 675.09

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Solution

The fourth proportional to 1,172.57, 1,617.84 and 675.09 is: 931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.57 : 1,617.84 = 675.09 : x
  2. Step 2: Convert to fraction form
    1,172.57/1,617.84 = 675.09/x
  3. Step 3: Cross multiply
    1,172.57x = 1,617.84 × 675.09
  4. Step 4: Simplify right side
    1,172.57x = 1,092,187.61
  5. Step 5: Solve for x
    x = 1,092,187.61/1,172.57
  6. Step 6: Final answer
    x = 931.45

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Why These Related Problems?

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