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Finding the Fourth Proportional to 1,558.36, 2,337.13 and 462.43

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Solution

The fourth proportional to 1,558.36, 2,337.13 and 462.43 is: 693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.36 : 2,337.13 = 462.43 : x
  2. Step 2: Convert to fraction form
    1,558.36/2,337.13 = 462.43/x
  3. Step 3: Cross multiply
    1,558.36x = 2,337.13 × 462.43
  4. Step 4: Simplify right side
    1,558.36x = 1,080,759.03
  5. Step 5: Solve for x
    x = 1,080,759.03/1,558.36
  6. Step 6: Final answer
    x = 693.52

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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.