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Finding the Fourth Proportional to 1,583, 2,375.97 and 803.55

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Solution

The fourth proportional to 1,583, 2,375.97 and 803.55 is: 1,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583 : 2,375.97 = 803.55 : x
  2. Step 2: Convert to fraction form
    1,583/2,375.97 = 803.55/x
  3. Step 3: Cross multiply
    1,583x = 2,375.97 × 803.55
  4. Step 4: Simplify right side
    1,583x = 1,909,210.69
  5. Step 5: Solve for x
    x = 1,909,210.69/1,583
  6. Step 6: Final answer
    x = 1,206.07

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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.