Home / 1,434.31-2,149.54-653.13

Finding the Fourth Proportional to 1,434.31, 2,149.54 and 653.13

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Solution

The fourth proportional to 1,434.31, 2,149.54 and 653.13 is: 978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.31 : 2,149.54 = 653.13 : x
  2. Step 2: Convert to fraction form
    1,434.31/2,149.54 = 653.13/x
  3. Step 3: Cross multiply
    1,434.31x = 2,149.54 × 653.13
  4. Step 4: Simplify right side
    1,434.31x = 1,403,927.43
  5. Step 5: Solve for x
    x = 1,403,927.43/1,434.31
  6. Step 6: Final answer
    x = 978.82

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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.