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Finding the Fourth Proportional to 1,790.70, 2,686.32 and 558.21

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Solution

The fourth proportional to 1,790.70, 2,686.32 and 558.21 is: 837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.70 : 2,686.32 = 558.21 : x
  2. Step 2: Convert to fraction form
    1,790.70/2,686.32 = 558.21/x
  3. Step 3: Cross multiply
    1,790.70x = 2,686.32 × 558.21
  4. Step 4: Simplify right side
    1,790.70x = 1,499,530.69
  5. Step 5: Solve for x
    x = 1,499,530.69/1,790.70
  6. Step 6: Final answer
    x = 837.40

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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.