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Finding the Fourth Proportional to 1,176.63, 1,603.50 and 1,172.31

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Solution

The fourth proportional to 1,176.63, 1,603.50 and 1,172.31 is: 1,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.63 : 1,603.50 = 1,172.31 : x
  2. Step 2: Convert to fraction form
    1,176.63/1,603.50 = 1,172.31/x
  3. Step 3: Cross multiply
    1,176.63x = 1,603.50 × 1,172.31
  4. Step 4: Simplify right side
    1,176.63x = 1,879,799.09
  5. Step 5: Solve for x
    x = 1,879,799.09/1,176.63
  6. Step 6: Final answer
    x = 1,597.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.