Home / 1,038.42-1,558.26-691.92

Finding the Fourth Proportional to 1,038.42, 1,558.26 and 691.92

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Solution

The fourth proportional to 1,038.42, 1,558.26 and 691.92 is: 1,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.42 : 1,558.26 = 691.92 : x
  2. Step 2: Convert to fraction form
    1,038.42/1,558.26 = 691.92/x
  3. Step 3: Cross multiply
    1,038.42x = 1,558.26 × 691.92
  4. Step 4: Simplify right side
    1,038.42x = 1,078,191.26
  5. Step 5: Solve for x
    x = 1,078,191.26/1,038.42
  6. Step 6: Final answer
    x = 1,038.30

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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.