Home / 1,158.20-1,735.76-427.10

Finding the Fourth Proportional to 1,158.20, 1,735.76 and 427.10

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Solution

The fourth proportional to 1,158.20, 1,735.76 and 427.10 is: 640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.20 : 1,735.76 = 427.10 : x
  2. Step 2: Convert to fraction form
    1,158.20/1,735.76 = 427.10/x
  3. Step 3: Cross multiply
    1,158.20x = 1,735.76 × 427.10
  4. Step 4: Simplify right side
    1,158.20x = 741,343.10
  5. Step 5: Solve for x
    x = 741,343.10/1,158.20
  6. Step 6: Final answer
    x = 640.08

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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.