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Finding the Fourth Proportional to 1,558.84, 2,338.26 and 404.50

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Solution

The fourth proportional to 1,558.84, 2,338.26 and 404.50 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.84 : 2,338.26 = 404.50 : x
  2. Step 2: Convert to fraction form
    1,558.84/2,338.26 = 404.50/x
  3. Step 3: Cross multiply
    1,558.84x = 2,338.26 × 404.50
  4. Step 4: Simplify right side
    1,558.84x = 945,826.17
  5. Step 5: Solve for x
    x = 945,826.17/1,558.84
  6. Step 6: Final answer
    x = 606.75

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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.