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Finding the Fourth Proportional to 937.83, 1,406.34 and 417.99

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Solution

The fourth proportional to 937.83, 1,406.34 and 417.99 is: 626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.83 : 1,406.34 = 417.99 : x
  2. Step 2: Convert to fraction form
    937.83/1,406.34 = 417.99/x
  3. Step 3: Cross multiply
    937.83x = 1,406.34 × 417.99
  4. Step 4: Simplify right side
    937.83x = 587,836.06
  5. Step 5: Solve for x
    x = 587,836.06/937.83
  6. Step 6: Final answer
    x = 626.80

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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.