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Finding the Fourth Proportional to 1,558.00, 2,336.39 and 462.07

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Solution

The fourth proportional to 1,558.00, 2,336.39 and 462.07 is: 692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.00 : 2,336.39 = 462.07 : x
  2. Step 2: Convert to fraction form
    1,558.00/2,336.39 = 462.07/x
  3. Step 3: Cross multiply
    1,558.00x = 2,336.39 × 462.07
  4. Step 4: Simplify right side
    1,558.00x = 1,079,578.07
  5. Step 5: Solve for x
    x = 1,079,578.07/1,558.00
  6. Step 6: Final answer
    x = 692.93

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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.