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Finding the Fourth Proportional to 1,037.21, 1,555.85 and 343.93

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Solution

The fourth proportional to 1,037.21, 1,555.85 and 343.93 is: 515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.21 : 1,555.85 = 343.93 : x
  2. Step 2: Convert to fraction form
    1,037.21/1,555.85 = 343.93/x
  3. Step 3: Cross multiply
    1,037.21x = 1,555.85 × 343.93
  4. Step 4: Simplify right side
    1,037.21x = 535,102.41
  5. Step 5: Solve for x
    x = 535,102.41/1,037.21
  6. Step 6: Final answer
    x = 515.91

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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.