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Finding the Fourth Proportional to 1,173.58, 1,609.03 and 1,152.92

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Solution

The fourth proportional to 1,173.58, 1,609.03 and 1,152.92 is: 1,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.58 : 1,609.03 = 1,152.92 : x
  2. Step 2: Convert to fraction form
    1,173.58/1,609.03 = 1,152.92/x
  3. Step 3: Cross multiply
    1,173.58x = 1,609.03 × 1,152.92
  4. Step 4: Simplify right side
    1,173.58x = 1,855,088.33
  5. Step 5: Solve for x
    x = 1,855,088.33/1,173.58
  6. Step 6: Final answer
    x = 1,580.71

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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.