Home / 1,292.37-1,938.21-512.02

Finding the Fourth Proportional to 1,292.37, 1,938.21 and 512.02

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Solution

The fourth proportional to 1,292.37, 1,938.21 and 512.02 is: 767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.37 : 1,938.21 = 512.02 : x
  2. Step 2: Convert to fraction form
    1,292.37/1,938.21 = 512.02/x
  3. Step 3: Cross multiply
    1,292.37x = 1,938.21 × 512.02
  4. Step 4: Simplify right side
    1,292.37x = 992,402.28
  5. Step 5: Solve for x
    x = 992,402.28/1,292.37
  6. Step 6: Final answer
    x = 767.89

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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.