Home / 1,029.40-1,541.70-640.60

Finding the Fourth Proportional to 1,029.40, 1,541.70 and 640.60

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Solution

The fourth proportional to 1,029.40, 1,541.70 and 640.60 is: 959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.40 : 1,541.70 = 640.60 : x
  2. Step 2: Convert to fraction form
    1,029.40/1,541.70 = 640.60/x
  3. Step 3: Cross multiply
    1,029.40x = 1,541.70 × 640.60
  4. Step 4: Simplify right side
    1,029.40x = 987,613.02
  5. Step 5: Solve for x
    x = 987,613.02/1,029.40
  6. Step 6: Final answer
    x = 959.41

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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.