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Finding the Fourth Proportional to 1,172.52, 1,607.58 and 1,153.44

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Solution

The fourth proportional to 1,172.52, 1,607.58 and 1,153.44 is: 1,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.52 : 1,607.58 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,172.52/1,607.58 = 1,153.44/x
  3. Step 3: Cross multiply
    1,172.52x = 1,607.58 × 1,153.44
  4. Step 4: Simplify right side
    1,172.52x = 1,854,247.08
  5. Step 5: Solve for x
    x = 1,854,247.08/1,172.52
  6. Step 6: Final answer
    x = 1,581.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.