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Finding the Fourth Proportional to 1,424.37, 2,135.72 and 558.07

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Solution

The fourth proportional to 1,424.37, 2,135.72 and 558.07 is: 836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.37 : 2,135.72 = 558.07 : x
  2. Step 2: Convert to fraction form
    1,424.37/2,135.72 = 558.07/x
  3. Step 3: Cross multiply
    1,424.37x = 2,135.72 × 558.07
  4. Step 4: Simplify right side
    1,424.37x = 1,191,878.47
  5. Step 5: Solve for x
    x = 1,191,878.47/1,424.37
  6. Step 6: Final answer
    x = 836.78

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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.