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Finding the Fourth Proportional to 1,583.85, 2,375.84 and 473.25

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Solution

The fourth proportional to 1,583.85, 2,375.84 and 473.25 is: 709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.85 : 2,375.84 = 473.25 : x
  2. Step 2: Convert to fraction form
    1,583.85/2,375.84 = 473.25/x
  3. Step 3: Cross multiply
    1,583.85x = 2,375.84 × 473.25
  4. Step 4: Simplify right side
    1,583.85x = 1,124,366.28
  5. Step 5: Solve for x
    x = 1,124,366.28/1,583.85
  6. Step 6: Final answer
    x = 709.89

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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.