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Finding the Fourth Proportional to 1,558.67, 2,337.30 and 462.80

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Solution

The fourth proportional to 1,558.67, 2,337.30 and 462.80 is: 693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.67 : 2,337.30 = 462.80 : x
  2. Step 2: Convert to fraction form
    1,558.67/2,337.30 = 462.80/x
  3. Step 3: Cross multiply
    1,558.67x = 2,337.30 × 462.80
  4. Step 4: Simplify right side
    1,558.67x = 1,081,702.44
  5. Step 5: Solve for x
    x = 1,081,702.44/1,558.67
  6. Step 6: Final answer
    x = 693.99

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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.