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Finding the Fourth Proportional to 1,358.41, 2,037.76 and 434.11

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Solution

The fourth proportional to 1,358.41, 2,037.76 and 434.11 is: 651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.41 : 2,037.76 = 434.11 : x
  2. Step 2: Convert to fraction form
    1,358.41/2,037.76 = 434.11/x
  3. Step 3: Cross multiply
    1,358.41x = 2,037.76 × 434.11
  4. Step 4: Simplify right side
    1,358.41x = 884,611.99
  5. Step 5: Solve for x
    x = 884,611.99/1,358.41
  6. Step 6: Final answer
    x = 651.21

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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.