Home / 1,021.07-1,531.76-473.31

Finding the Fourth Proportional to 1,021.07, 1,531.76 and 473.31

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Solution

The fourth proportional to 1,021.07, 1,531.76 and 473.31 is: 710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.07 : 1,531.76 = 473.31 : x
  2. Step 2: Convert to fraction form
    1,021.07/1,531.76 = 473.31/x
  3. Step 3: Cross multiply
    1,021.07x = 1,531.76 × 473.31
  4. Step 4: Simplify right side
    1,021.07x = 724,997.62
  5. Step 5: Solve for x
    x = 724,997.62/1,021.07
  6. Step 6: Final answer
    x = 710.04

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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.