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Finding the Fourth Proportional to 1,583.66, 2,375.67 and 609.59

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Solution

The fourth proportional to 1,583.66, 2,375.67 and 609.59 is: 914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.66 : 2,375.67 = 609.59 : x
  2. Step 2: Convert to fraction form
    1,583.66/2,375.67 = 609.59/x
  3. Step 3: Cross multiply
    1,583.66x = 2,375.67 × 609.59
  4. Step 4: Simplify right side
    1,583.66x = 1,448,184.68
  5. Step 5: Solve for x
    x = 1,448,184.68/1,583.66
  6. Step 6: Final answer
    x = 914.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.