Home / 1,021.32-1,531.42-473.20

Finding the Fourth Proportional to 1,021.32, 1,531.42 and 473.20

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Solution

The fourth proportional to 1,021.32, 1,531.42 and 473.20 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.32 : 1,531.42 = 473.20 : x
  2. Step 2: Convert to fraction form
    1,021.32/1,531.42 = 473.20/x
  3. Step 3: Cross multiply
    1,021.32x = 1,531.42 × 473.20
  4. Step 4: Simplify right side
    1,021.32x = 724,667.94
  5. Step 5: Solve for x
    x = 724,667.94/1,021.32
  6. Step 6: Final answer
    x = 709.54

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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.