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Finding the Fourth Proportional to 1,790.42, 2,685.42 and 558.14

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Solution

The fourth proportional to 1,790.42, 2,685.42 and 558.14 is: 837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.42 : 2,685.42 = 558.14 : x
  2. Step 2: Convert to fraction form
    1,790.42/2,685.42 = 558.14/x
  3. Step 3: Cross multiply
    1,790.42x = 2,685.42 × 558.14
  4. Step 4: Simplify right side
    1,790.42x = 1,498,840.32
  5. Step 5: Solve for x
    x = 1,498,840.32/1,790.42
  6. Step 6: Final answer
    x = 837.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.