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Finding the Fourth Proportional to 1,593.69, 2,390.64 and 423.68

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Solution

The fourth proportional to 1,593.69, 2,390.64 and 423.68 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.69 : 2,390.64 = 423.68 : x
  2. Step 2: Convert to fraction form
    1,593.69/2,390.64 = 423.68/x
  3. Step 3: Cross multiply
    1,593.69x = 2,390.64 × 423.68
  4. Step 4: Simplify right side
    1,593.69x = 1,012,854.40
  5. Step 5: Solve for x
    x = 1,012,854.40/1,593.69
  6. Step 6: Final answer
    x = 635.54

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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.