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Finding the Fourth Proportional to 1,558.16, 2,337.20 and 462.54

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Solution

The fourth proportional to 1,558.16, 2,337.20 and 462.54 is: 693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.16 : 2,337.20 = 462.54 : x
  2. Step 2: Convert to fraction form
    1,558.16/2,337.20 = 462.54/x
  3. Step 3: Cross multiply
    1,558.16x = 2,337.20 × 462.54
  4. Step 4: Simplify right side
    1,558.16x = 1,081,039.56
  5. Step 5: Solve for x
    x = 1,081,039.56/1,558.16
  6. Step 6: Final answer
    x = 693.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.