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Finding the Fourth Proportional to 937.12, 1,405.80 and 389.24

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Solution

The fourth proportional to 937.12, 1,405.80 and 389.24 is: 583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.12 : 1,405.80 = 389.24 : x
  2. Step 2: Convert to fraction form
    937.12/1,405.80 = 389.24/x
  3. Step 3: Cross multiply
    937.12x = 1,405.80 × 389.24
  4. Step 4: Simplify right side
    937.12x = 547,193.59
  5. Step 5: Solve for x
    x = 547,193.59/937.12
  6. Step 6: Final answer
    x = 583.91

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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.